Maintaining coherence in quantum computers

1994/06/09 by W. G. Unruh · 24 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1103/physreva.51.992

13 pages

arxiv created 1994/06/09 · openalex publication_date 1995/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The effects of the inevitable coupling to external degrees of freedom of a quantum computer are examined. It is found that for quantum calculations (in which the maintenance of coherence over a large number of states is important), not only must the coupling be small, but the time taken in the quantum calculation must be less than the thermal time scale \ensuremath\Elzxh/k_BT. For longer times the condition on the strength of the coupling to the external world becomes much more stringent.

Citations

• Dynamics of the dissipative two-state system

Cited by

• Analytic Approach to Quantum Control Using Quantum Signal Processing
• Algorithms for quantum computation: discrete logarithms and factoring
• Quantum Computation
• Quantum Decoherence of the Surface Code: A Generalized Caldeira-Leggett Approach
• Micromotion-enabled improvement of quantum logic gates with trapped ions
• Dynamical suppression of decoherence in two-state quantum systems
• A Hamiltonian for quantum copying
• Coherent control in a decoherence-free subspace of a collective multilevel system
• Functional integral treatment of some quantum nondemolition systems
• Geometric phase of a qubit interacting with a squeezed-thermal bath
• Optimal state transfer of a single dissipative two-level system
• Quantum complexity theory
• Higher-order perturbation theory for decoherence in Grover’s algorithm
• A new method for multi-bit and qudit transfer based on commensurate waveguide arrays
• Non-Markovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model
• Phase-diffusion pattern in quantum-nondemolition systems
• A Survey on Quantum Channel Capacities
• Extracting Information from Qubit-Environment Correlations
• Simulating quantum systems on a quantum computer
• New Trends in Quantum Computing
• Theory of the spin bath
• Collective couplings: Rectification and supertransmittance
• Local Search Methods for Quantum Computers
• Modelling for Quantum Error Mitigation
• Quantum computing [wikipedia]