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  Subjects -> PHYSICS (Total: 800 journals)
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PHYSICS (578 journals)            First | 1 2 3 | Last

Showing 401 - 600 of 741 Journals sorted alphabetically
Nanoscale and Microscale Thermophysical Engineering     Hybrid Journal   (Followers: 3)
Nanoscale Research Letters     Open Access   (Followers: 3)
Nanospectroscopy     Open Access   (Followers: 1)
Nanotechnology Magazine, IEEE     Full-text available via subscription   (Followers: 32)
Natural Science     Open Access   (Followers: 10)
Nature Communications     Open Access   (Followers: 166)
Nature Materials     Full-text available via subscription   (Followers: 58)
Nature Physics     Full-text available via subscription   (Followers: 39)
NDT & E International     Hybrid Journal   (Followers: 52)
Neutron News     Hybrid Journal  
New Journal of Physics     Open Access   (Followers: 20)
Noise & Vibration Worldwide     Full-text available via subscription   (Followers: 3)
Nondestructive Testing And Evaluation     Hybrid Journal   (Followers: 15)
Nonlinear Dynamics     Hybrid Journal   (Followers: 8)
Novel Superconducting Materials     Open Access  
npj Computational Materials     Open Access  
npj Microgravity     Open Access   (Followers: 1)
npj Quantum Information     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 3)
Nuclear Engineering and Design     Hybrid Journal   (Followers: 13)
Nuclear Medicine and Biology     Hybrid Journal   (Followers: 4)
Open Journal of Biophysics     Open Access   (Followers: 1)
Open Journal of Fluid Dynamics     Open Access   (Followers: 12)
Open Journal of Microphysics     Open Access  
Open Physics     Open Access   (Followers: 5)
Optical Communications and Networking, IEEE/OSA Journal of     Full-text available via subscription   (Followers: 13)
Optofluidics, Microfluidics and Nanofluidics     Open Access   (Followers: 1)
Organic Electronics     Hybrid Journal   (Followers: 4)
Organic Photonics and Photovoltaics     Open Access   (Followers: 1)
PAJ: A Journal of Performance and Art     Hybrid Journal   (Followers: 12)
Particuology     Hybrid Journal  
Pattern Recognition in Physics     Open Access   (Followers: 1)
Pergamon Materials Series     Full-text available via subscription  
Phase Transitions and Critical Phenomena     Full-text available via subscription   (Followers: 1)
Philosophical Magazine     Hybrid Journal   (Followers: 3)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 8)
Philosophy and Foundations of Physics     Full-text available via subscription   (Followers: 1)
Physica B: Condensed Matter     Hybrid Journal   (Followers: 6)
physica status solidi (a)     Hybrid Journal   (Followers: 1)
physica status solidi (b)     Hybrid Journal   (Followers: 2)
physica status solidi (c)     Hybrid Journal   (Followers: 1)
Physica Status Solidi - Rapid Research Letters     Hybrid Journal   (Followers: 1)
Physical Communication     Hybrid Journal   (Followers: 1)
Physical Review C     Full-text available via subscription   (Followers: 14)
Physical Review Special Topics - Physics Education Research     Open Access   (Followers: 5)
Physical Review X     Open Access   (Followers: 10)
Physical Sciences Data     Full-text available via subscription   (Followers: 1)
Physical Sciences Reviews     Full-text available via subscription  
Physics - spotlighting exceptional research     Full-text available via subscription   (Followers: 1)
Physics and Chemistry of Glasses - European Journal of Glass Science and Technology Part B     Full-text available via subscription   (Followers: 4)
Physics and Chemistry of Liquids: An International Journal     Hybrid Journal   (Followers: 1)
Physics and Chemistry of the Earth, Parts A/B/C     Hybrid Journal   (Followers: 6)
Physics and Materials Chemistry     Open Access   (Followers: 1)
Physics Essays     Full-text available via subscription   (Followers: 1)
Physics in Medicine & Biology     Full-text available via subscription   (Followers: 14)
Physics in Perspective     Hybrid Journal   (Followers: 2)
Physics International     Open Access   (Followers: 3)
Physics Letters A     Hybrid Journal   (Followers: 15)
Physics Letters B     Open Access   (Followers: 5)
Physics of Fluids     Hybrid Journal   (Followers: 32)
Physics of Life Reviews     Hybrid Journal   (Followers: 1)
Physics of Plasmas     Hybrid Journal   (Followers: 7)
Physics of the Dark Universe     Open Access   (Followers: 3)
Physics of the Solid State     Hybrid Journal   (Followers: 1)
Physics of Wave Phenomena     Hybrid Journal  
Physics Procedia     Open Access   (Followers: 1)
Physics Reports     Full-text available via subscription   (Followers: 3)
Physics Research International     Open Access   (Followers: 2)
Physics Today     Hybrid Journal   (Followers: 74)
Physics World     Full-text available via subscription   (Followers: 17)
Physics-Uspekhi     Full-text available via subscription  
Physik in unserer Zeit     Hybrid Journal   (Followers: 9)
Physik Journal     Hybrid Journal  
Plasma Physics and Controlled Fusion     Hybrid Journal   (Followers: 3)
Plasma Physics Reports     Hybrid Journal   (Followers: 2)
Pramana     Open Access   (Followers: 15)
Preview     Hybrid Journal  
Proceedings of the National Academy of Sciences     Full-text available via subscription   (Followers: 736)
Proceedings of the National Academy of Sciences, India Section A     Hybrid Journal   (Followers: 3)
Progress in Materials Science     Hybrid Journal   (Followers: 24)
Progress in Planning     Hybrid Journal   (Followers: 1)
Progress of Theoretical and Experimental Physics     Open Access  
Quantum Electronics     Full-text available via subscription   (Followers: 2)
Quantum Measurements and Quantum Metrology     Open Access  
Quantum Studies : Mathematics and Foundations     Hybrid Journal   (Followers: 3)
Quarterly Journal of Mechanics and Applied Mathematics     Hybrid Journal   (Followers: 3)
Radiation Effects and Defects in Solids     Hybrid Journal   (Followers: 1)
Radiation Measurements     Hybrid Journal   (Followers: 3)
Radiation Physics and Chemistry     Hybrid Journal   (Followers: 2)
Radiation Protection Dosimetry     Hybrid Journal   (Followers: 3)
Radiation Research     Full-text available via subscription   (Followers: 3)
Radiatsionnaya Gygiena = Radiation Hygiene     Open Access  
Radio Science     Full-text available via subscription   (Followers: 37)
Radiological Physics and Technology     Hybrid Journal  
Reflets de la physique     Full-text available via subscription  
Reports on Mathematical Physics     Full-text available via subscription   (Followers: 1)
Reports on Progress in Physics     Full-text available via subscription   (Followers: 3)
Research & Reviews : Journal of Physics     Full-text available via subscription   (Followers: 1)
Research in Drama Education     Hybrid Journal   (Followers: 10)
Research Journal of Physics     Open Access   (Followers: 14)
Results in Physics     Open Access  
Reviews in Mathematical Physics     Hybrid Journal  
Reviews in Physics     Open Access  
Reviews of Accelerator Science and Technology     Hybrid Journal   (Followers: 1)
Reviews of Geophysics     Full-text available via subscription   (Followers: 34)
Reviews of Modern Physics     Full-text available via subscription   (Followers: 28)
Revista de Física     Open Access  
Revista Mexicana de Astronomía y Astrofísica     Open Access  
Revista Mexicana de Física     Open Access  
Revista mexicana de física E     Open Access  
Rheologica Acta     Hybrid Journal   (Followers: 1)
Russian Journal of Mathematical Physics     Hybrid Journal  
Russian Journal of Nondestructive Testing     Hybrid Journal   (Followers: 4)
Russian Physics Journal     Hybrid Journal   (Followers: 1)
Samuel Beckett Today/Aujourd'hui     Full-text available via subscription   (Followers: 2)
Science and Technology of Nuclear Installations     Open Access   (Followers: 2)
Science China Physics, Mechanics & Astronomy     Hybrid Journal   (Followers: 2)
Scientific Reports     Open Access   (Followers: 43)
Selected Topics in Applied Earth Observations and Remote Sensing, IEEE Journal of     Hybrid Journal   (Followers: 48)
Sensor Letters     Full-text available via subscription   (Followers: 2)
Sensors and Actuators A: Physical     Hybrid Journal   (Followers: 131)
Services Computing, IEEE Transactions on     Hybrid Journal   (Followers: 5)
Shock and Vibration     Hybrid Journal   (Followers: 9)
Shock Waves     Hybrid Journal   (Followers: 5)
Small     Hybrid Journal   (Followers: 11)
Software Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 57)
Solid State Physics     Full-text available via subscription   (Followers: 1)
Solid-State Circuits Magazine, IEEE     Hybrid Journal   (Followers: 10)
Space Research Journal     Open Access   (Followers: 4)
Space Weather     Full-text available via subscription   (Followers: 16)
Spectral Analysis Review     Open Access  
Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy     Hybrid Journal   (Followers: 17)
Spectrochimica Acta Part B: Atomic Spectroscopy     Hybrid Journal   (Followers: 18)
Spectroscopy and Spectral Analysis     Full-text available via subscription  
Spectroscopy Letters: An International Journal for Rapid Communication     Hybrid Journal   (Followers: 4)
Sri Lankan Journal of Physics     Open Access  
St. Petersburg Polytechnic University Journal : Physics and Mathematics     Open Access  
Strain     Hybrid Journal   (Followers: 2)
Strength of Materials     Hybrid Journal   (Followers: 7)
Structural Dynamics     Open Access   (Followers: 4)
Studies In Applied Mathematics     Hybrid Journal   (Followers: 1)
Superconductor Science and Technology     Hybrid Journal   (Followers: 2)
Surface Engineering     Hybrid Journal   (Followers: 4)
Surface Review and Letters     Hybrid Journal   (Followers: 1)
Surface Science Reports     Full-text available via subscription   (Followers: 15)
Surface Science Spectra     Hybrid Journal   (Followers: 1)
Surface Topography : Metrology and Properties     Full-text available via subscription  
Synchrotron Radiation News     Hybrid Journal   (Followers: 3)
Synthetic Metals     Hybrid Journal   (Followers: 4)
Technical Physics     Hybrid Journal  
Technical Physics Letters     Hybrid Journal  
Tectonics     Full-text available via subscription   (Followers: 14)
The European Physical Journal H     Hybrid Journal   (Followers: 2)
The European Physical Journal Plus     Open Access  
The International Journal of Multiphysics     Full-text available via subscription   (Followers: 1)
The Physics of Metals and Metallography     Hybrid Journal   (Followers: 16)
The Physics Teacher     Full-text available via subscription   (Followers: 109)
Theoretical and Computational Fluid Dynamics     Hybrid Journal   (Followers: 13)
Theoretical and Mathematical Physics     Hybrid Journal   (Followers: 6)
Topological Quantum Matter     Open Access  
Transport Phenomena in Nano and Micro Scales     Open Access  
Transport Theory and Statistical Physics     Hybrid Journal   (Followers: 4)
Tribology International     Hybrid Journal   (Followers: 41)
Tribology Letters     Hybrid Journal   (Followers: 5)
Ultrasonics     Hybrid Journal   (Followers: 6)
Ultrasonics Sonochemistry     Hybrid Journal   (Followers: 3)
Ultrasound in Medicine & Biology     Full-text available via subscription   (Followers: 8)
Universal Journal of Physics and Application     Open Access   (Followers: 2)
Unnes Physics Education Journal     Open Access   (Followers: 4)
Unnes Physics Journal     Open Access   (Followers: 1)
Waves, Wavelets and Fractals     Open Access  
Western Journal of Communication     Hybrid Journal   (Followers: 5)
Women & Performance: a journal of feminist theory     Hybrid Journal   (Followers: 6)
Women in Engineering Magazine, IEEE     Full-text available via subscription   (Followers: 12)
World Journal of Condensed Matter Physics     Open Access  
X-Acoustics: Imaging and Sensing : Photoacoustics, Thermoacoustics, Magnetoacoustics     Open Access  
Zeitschrift für angewandte Mathematik und Physik     Hybrid Journal   (Followers: 1)
Zeitschrift für Naturforschung A : A Journal of Physical Sciences     Open Access  

  First | 1 2 3 | Last

Journal Cover International Journal of Quantum Information
  [SJR: 0.304]   [H-I: 27]   [3 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0219-7499 - ISSN (Online) 1793-6918
   Published by World Scientific Homepage  [118 journals]
  • Quantum private comparison protocol without a third party
    • Abstract: International Journal of Quantum Information, Volume 15, Issue 02, March 2017.
      To evade the well-known impossibility of unconditionally secure quantum two-party computations, previous quantum private comparison protocols have to adopt a third party. Here, we study how far we can go with two parties only. We propose a very feasible and efficient protocol. Intriguingly, although the average amount of information leaked cannot be made arbitrarily small, we find that this average will not exceed 14 bits for any length of the bit-string being compared.
      Citation: International Journal of Quantum Information
      PubDate: 2017-03-03T02:59:30Z
      DOI: 10.1142/S0219749917500149
       
  • Dzyaloshinskii–Moriya interaction and anisotropy effects on the
           tripartite quantum discord of Heisenberg XY model
    • Abstract: International Journal of Quantum Information, Ahead of Print.
      In this paper, we address the tripartite quantum discord for the Heisenberg XY chain with the Dzyaloshinskii–Moriya (DM) interaction using the quantum renormalization-group (QRG) method. In thermodynamic limit, like the entanglement, the tripartite discord exhibits the quantum phase transition (QPT) between the spin-fluid and the Neel phases. The effect of the DM interaction and the anisotropy on the features of the tripartite quantum discord has been probed. It is noted that the DM interaction brings the critical point earlier and affects heavily with the size of the system. Moreover, the system requires a larger number of the iterations to achieve the QPT for the tripartite quantum discord as compared to the entanglement.
      Citation: International Journal of Quantum Information
      PubDate: 2017-04-17T08:15:46Z
      DOI: 10.1142/S0219749917500216
       
  • Quantum correlations for two-qubit [math] states through the local quantum
           uncertainty
    • Abstract: International Journal of Quantum Information, Ahead of Print.
      Local quantum uncertainty is defined as the minimum amount of uncertainty in measuring a local observable for a bipartite state. It provides a well-defined measure of pairwise quantum correlations in quantum systems and has operational significance in quantum metrology. In this work, we analytically derive the expression of local quantum uncertainty for two-qubit [math] states which are of paramount importance in various fields of quantum information. As an illustration, we consider two-qubit states extracted from even and odd spin coherent states.
      Citation: International Journal of Quantum Information
      PubDate: 2017-04-04T04:03:08Z
      DOI: 10.1142/S0219749917500204
       
  • Quantum image processing: A review of advances in its security
           technologies
    • Abstract: International Journal of Quantum Information, Ahead of Print.
      In this review, we present an overview of the advances made in quantum image processing (QIP) comprising of the image representations, the operations realizable on them, and the likely protocols and algorithms for their applications. In particular, we focus on recent progresses on QIP-based security technologies including quantum watermarking, quantum image encryption, and quantum image steganography. This review is aimed at providing readers with a succinct, yet adequate compendium of the progresses made in the QIP sub-area. Hopefully, this effort will stimulate further interest aimed at the pursuit of more advanced algorithms and experimental validations for available technologies and extensions to other domains.
      Citation: International Journal of Quantum Information
      PubDate: 2017-04-03T06:27:43Z
      DOI: 10.1142/S0219749917300017
       
  • Distilling entanglement with noisy operations
    • Abstract: International Journal of Quantum Information, Ahead of Print.
      Entanglement distillation is a fundamental task in quantum information processing. It not only extracts entanglement out of corrupted systems but also leads to protecting systems of interest against intervention with environment. In this work, we consider a realistic scenario of entanglement distillation where noisy quantum operations are applied. In particular, the two-way distillation protocol that tolerates the highest error rate is considered. We show that among all types of noise there are only four equivalence classes according to the distillability condition. Since the four classes are connected by local unitary transformations, our results can be used to improve entanglement distillability in practice when entanglement distillation is performed in a realistic setting.
      Citation: International Journal of Quantum Information
      PubDate: 2017-03-29T03:07:32Z
      DOI: 10.1142/S0219749917500198
       
  • Entanglement-assisted quantum codes from quaternary codes of dimension
           five
    • Abstract: International Journal of Quantum Information, Ahead of Print.
      Maximal-entanglement entanglement-assisted quantum error-correcting codes (EAQE-CCs) can achieve the EA-hashing bound asymptotically and a higher rate and/or better noise suppression capability may be achieved by exploiting maximal entanglement. In this paper, we discussed the construction of quaternary zero radical (ZR) codes of dimension five with length [math]. Using the obtained quaternary ZR codes, we construct many maximal-entanglement EAQECCs with very good parameters. Almost all of these EAQECCs are better than those obtained in the literature, and some of these EAQECCs are optimal codes.
      Citation: International Journal of Quantum Information
      PubDate: 2017-03-08T06:24:51Z
      DOI: 10.1142/S0219749917500174
       
  • Two-party quantum key agreement with five-particle entangled states
    • Abstract: International Journal of Quantum Information, Ahead of Print.
      A two-party quantum key agreement protocol is proposed with five-particle entangled states and the delayed measurement technique. According to the measurement correlation property of five-particle entangled states, two participants can deduce the measurement results of each other’s initial quantum states. As a result, two parties can extract the secret keys of each other by using the publicly announced value or by performing the delayed measurement, respectively. Thus, a shared key is fairly established. Since each particle is transmitted only once in quantum channel, the protocol is congenitally free from the Trojan horse attacks. It is shown that the protocol not only is secure against both participant and outsider attacks but also has no information leakage problem. Moreover, it has high qubit efficiency.
      Citation: International Journal of Quantum Information
      PubDate: 2017-03-02T09:40:21Z
      DOI: 10.1142/S0219749917500186
       
  • Time evolution of quantum correlations in superconducting flux-qubits
           under classical noises
    • Abstract: International Journal of Quantum Information, Ahead of Print.
      We analyze the dynamics of both entanglement and quantum discord (QD) in a system of two non-interacting flux-qubits initially prepared in a Bell’s state and subjected to either static or random telegraph noises (RTNs). Both independent and common sources of system-environment coupling are considered either in the Markovian or non-Markovian regime and the results are compared to those of ordinary qubits. Under suitable conditions, both entanglement and QD are more robust in flux-qubit systems than classical ones. In the Markovian regime where the decay is monotonic, they are both stronger in different environment coupling than in common coupling, while the opposite is found in the non-Markovian regime where the dynamics is stressed by sudden death and revival phenomena, more robust in qubits than in flux-qubits under dynamical RTN. Weakness of revival amplitudes is interpreted as a noise spectrum-related induced interaction affecting quantum features of the system, while energy level non-degeneracy (at zero-splitting) of flux-qubits induces a phase factor that set conditions under which entangled states can be experimentally witnessed in flux-qubit systems. Note that the energy levels non-degeneracy has no particular effect on other entanglement measures apart from entanglement witnesses.
      Citation: International Journal of Quantum Information
      PubDate: 2017-02-23T03:31:53Z
      DOI: 10.1142/S0219749917500150
       
  • The performance of the quantum adiabatic algorithm on spike Hamiltonians
    • Authors: Linghang Kong, Elizabeth Crosson
      Abstract: International Journal of Quantum Information, Ahead of Print.
      Spike Hamiltonians arise from optimization instances for which the adiabatic algorithm provably out performs classical simulated annealing. In this work, we study the efficiency of the adiabatic algorithm for solving the “the Hamming weight with a spike” problem by analyzing the scaling of the spectral gap at the critical point for various sizes of the barrier. Our main result is a rigorous lower bound on the minimum spectral gap for the adiabatic evolution when the bit-symmetric cost function has a thin but polynomially high barrier, which is based on a comparison argument and an improved variational ansatz for the ground state. We also adapt the discrete WKB method for the case of abruptly changing potentials and compare it with the predictions of the spin coherent instanton method which was previously used by Farhi, Goldstone and Gutmann. Finally, our improved ansatz for the ground state leads to a method for predicting the location of avoided crossings in the excited energy states of the thin spike Hamiltonian, and we use a recursion relation to understand the ordering of some of these avoided crossings as a step towards analyzing the previously observed diabatic cascade phenomenon.
      Citation: International Journal of Quantum Information
      PubDate: 2017-02-07T10:54:41Z
      DOI: 10.1142/S0219749917500113
       
  • Multi-party quantum summation without a trusted third party based on
           single particles
    • Authors: Cai Zhang, Haozhen Situ, Qiong Huang, Pingle Yang
      Abstract: International Journal of Quantum Information, Ahead of Print.
      We propose multi-party quantum summation protocols based on single particles, in which participants are allowed to compute the summation of their inputs without the help of a trusted third party and preserve the privacy of their inputs. Only one participant who generates the source particles needs to perform unitary operations and only single particles are needed in the beginning of the protocols.
      Citation: International Journal of Quantum Information
      PubDate: 2017-02-03T09:11:37Z
      DOI: 10.1142/S0219749917500101
       
  • Effect of noise on joint remote preparation of multi-qubit state
    • Authors: Ming-Ming Wang, Zhi-Guo Qu, Wei Wang, Jin-Guang Chen
      Abstract: International Journal of Quantum Information, Ahead of Print.
      Quantum noise severely affects the security and reliability of quantum communication system. In this paper, we study the effect of quantum noise on quantum multiparty communication protocols. Taking a two-qubit joint remote state preparation (JRSP) scheme as an example, we point out that there are some calculation mistakes in a former JRSP scheme [X.W. Guan, X.B. Chen, L.C. Wang and Y.X. Yang, Int. J. Theor. Phys. 53(4) (2014) 2236.]. The revised output states and fidelities in two types of noise are presented, respectively. More importantly, we present a more general form for describing the effect of noise on multi-qubit system, which is fit for the case where different types of noise act on the system consecutively. The process of the JRSP scheme in two types of noise is discussed, respectively. It is shown that the noisy effect in the general case is much stronger than the former one for the most part. Our study will be helpful for analyzing the effect of quantum noise on quantum multiparty communication system.
      Citation: International Journal of Quantum Information
      PubDate: 2017-02-01T09:28:00Z
      DOI: 10.1142/S0219749917500125
       
  • A formulation of a matrix sparsity approach for the quantum ordered search
           algorithm
    • Authors: Jupinder Parmar, Saarim Rahman, Jaskaran Thiara
      Abstract: International Journal of Quantum Information, Ahead of Print.
      One specific subset of quantum algorithms is Grovers Ordered Search Problem (OSP), the quantum counterpart of the classical binary search algorithm, which utilizes oracle functions to produce a specified value within an ordered database. Classically, the optimal algorithm is known to have a [math] complexity; however, Grovers algorithm has been found to have an optimal complexity between the lower bound of [math] and the upper bound of [math]. We sought to lower the known upper bound of the OSP. With Farhi et al. MITCTP 2815 (1999), arXiv:quant-ph/9901059], we see that the OSP can be resolved into a translational invariant algorithm to create quantum query algorithm restraints. With these restraints, one can find Laurent polynomials for various [math] — queries — and [math] — database sizes — thus finding larger recursive sets to solve the OSP and effectively reducing the upper bound. These polynomials are found to be convex functions, allowing one to make use of convex optimization to find an improvement on the known bounds. According to Childs et al. [Phys. Rev. A 75 (2007) 032335], semidefinite programming, a subset of convex optimization, can solve the particular problem represented by the constraints. We were able to implement a program abiding to their formulation of a semidefinite program (SDP), leading us to find that it takes an immense amount of storage and time to compute. To combat this setback, we then formulated an approach to improve results of the SDP using matrix sparsity. Through the development of this approach, along with an implementation of a rudimentary solver, we demonstrate how matrix sparsity reduces the amount of time and storage required to compute the SDP — overall ensuring further improvements will likely be made to reach the theorized lower bound.
      Citation: International Journal of Quantum Information
      PubDate: 2017-01-13T09:17:34Z
      DOI: 10.1142/S0219749917500137
       
  • Optimization of quantum Hamiltonian evolution: from two projection
           operators to local Hamiltonians
    • Authors: Apoorva Patel, Anjani Priyadarsini
      Abstract: International Journal of Quantum Information, Ahead of Print.
      Given a quantum Hamiltonian and its evolution time, the corresponding unitary evolution operator can be constructed in many different ways, corresponding to different trajectories between the desired end-points and different series expansions. A choice among these possibilities can then be made to obtain the best computational complexity and control over errors. It is shown how a construction based on Grover’s algorithm scales linearly in time and logarithmically in the error bound, and is exponentially superior in error complexity to the scheme based on the straightforward application of the Lie–Trotter formula. The strategy is then extended first to simulation of any Hamiltonian that is a linear combination of two projection operators, and then to any local efficiently computable Hamiltonian. The key feature is to construct an evolution in terms of the largest possible steps instead of taking small time steps. Reflection operations and Chebyshev expansions are used to efficiently control the total error on the overall evolution, without worrying about discretization errors for individual steps. We also use a digital implementation of quantum states that makes linear algebra operations rather simple to perform.
      Citation: International Journal of Quantum Information
      PubDate: 2016-09-14T01:52:34Z
      DOI: 10.1142/S0219749916500271
       
 
 
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