Quantum chaos border for quantum computing

被引:154
|
作者
Georgeot, B [1 ]
Shepelyansky, DL [1 ]
机构
[1] Univ Toulouse 3, CNRS, UMR 5626, Phys Quant Lab, F-31062 Toulouse 4, France
关键词
D O I
10.1103/PhysRevE.62.3504
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study a generic model of quantum computer, composed of many qubits coupled by short-range inter action. Above a critical interqubit coupling strength, quantum chaos sets in, leading to quantum ergodicity of the computer eigenstates. In this regime the noninteracting qubit structure disappears, the eigenstates become complex, and the operability of the computer is destroyed. Despite the fact that the spacing between multiqubit states drops exponentially with the number of qubits n, we show that the quantum chaos border decreases only linearly with n. This opens a broad parameter region where the efficient operation of a quantum computer remains possible.
引用
收藏
页码:3504 / 3507
页数:4
相关论文
共 50 条
  • [31] FROM QUANTUM ACTION TO QUANTUM CHAOS
    Kroeger, Helmut
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 492 - 500
  • [32] From quantum action to quantum chaos
    Jirari, H
    Kröger, H
    Melkonyan, G
    Luo, XQ
    Moriarty, KJM
    FRONTIERS OF FUNDAMENTAL PHYSICS 4, 2001, : 129 - 143
  • [33] Quantum chaos in quantum Turing machines
    Kim, I
    Mahler, G
    PHYSICS LETTERS A, 1999, 263 (4-6) : 268 - 273
  • [34] Avoiding quantum chaos in quantum computation
    Berman, GP
    Borgonovi, F
    Izrailev, FM
    Tsifrinovich, VI
    PHYSICAL REVIEW E, 2002, 65 (01):
  • [35] Quantum chaos, decoherence and quantum computation
    G. Benenti
    G. Casati
    La Rivista del Nuovo Cimento, 2007, 30 (10) : 449 - 484
  • [36] Quantum chaos in quantum Turing machines
    Kim, Ilki
    Mahler, Günter
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1999, 263 (4-6): : 268 - 273
  • [37] Quantum chaos in small quantum networks
    Kim, I
    Mahler, G
    JOURNAL OF MODERN OPTICS, 2000, 47 (2-3) : 177 - 186
  • [38] Simulating quantum chaos on a quantum computer
    Anand, Amit
    Srivastava, Sanchit
    Gangopadhyay, Sayan
    Ghose, Shohini
    SCIENTIFIC REPORTS, 2024, 14 (01):
  • [39] Quantum integrability and quantum chaos in the micromaser
    R. K. Bullough
    N. M. Bogolyubov
    R. R. Puri
    Theoretical and Mathematical Physics, 2000, 122 : 151 - 169
  • [40] Quantum Biology on the Edge of Quantum Chaos
    Vattay, Gabor
    Kauffman, Stuart
    Niiranen, Samuli
    PLOS ONE, 2014, 9 (03):