Quantum Computers and Dissipation
arXiv:quant-ph/9702001 · doi:10.1098/rspa.1996.0029
Abstract
We analyse dissipation in quantum computation and its destructive impact on efficiency of quantum algorithms. Using a general model of decoherence, we study the time evolution of a quantum register of arbitrary length coupled with an environment of arbitrary coherence length. We discuss relations between decoherence and computational complexity and show that the quantum factorization algorithm must be modified in order to be regarded as efficient and realistic.
20 pages, Latex, 7 Postscript figures
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- Imitating quantum mechanics: qubit-based model for simulation
- Copycat process in the early stages of einselection
- Sensing microscopic noise events by frequent quantum measurements
- Quantum erasure in the presence of a thermal bath: the effects of system-environment microscopic correlations
- Codeword Stabilized Codes from m-Uniform Graph States
- Material Science for Quantum Computing with Atom Chips
- Decoding Quantum Error Correction Codes with Local Variation
- Minimum entropy production effect on a quantum scale
- Evolution towards quasi-equilibrium in nematic liquid crystals studied through decoherence of multi-spin multiple-quantum coherences
- Fisher information of accelerated two-qubit system in the presence of the color and white noise channels
- Correlations in interference and diffraction
- Open n-Qubit System as a Quantum Computer with Four-Valued Logic
- Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits
- Evolution of Entanglement of Two Qubits Interacting through Local and Collective Environments
- Characterization and generation of a SQL-beating catlike state through repetitive measurements
- Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states
- Protecting quantum systems from decoherence with unitary operations
- Fidelity as a figure of merit in quantum error correction
- Decoherence of the quantum logic gate implemented with the Jaynes-Cummings model: A semiclassical approach
- Transport properties of a periodically driven superconducting single electron transistor
- Model of a Programmable Quantum Processing Device