Quantum Computers and Dissipation

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

References in corpus (2)

• Two-Bit Gates are Universal for Quantum Computation
• Conditional Quantum Dynamics and Logic Gates

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• Saving Entanglement via a Nonuniform Sequence of $\pi$ Pulses
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• Decoherence-free quantum information in the presence of dynamical evolution
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• Two-qubit gates for decoherence-free qubits using a ring exchange interaction
• Quantum Error Mitigation via Quantum-Noise-Effect Circuit Groups
• Robust quantum searching with spontaneously decaying qubits
• Probing Anderson Localization using the Dynamics of a Qubit
• Irreversible decoherence of dipole interacting nuclear spins coupled with a phonon bath
• Charge noise induced spin dephasing in a nanowire double quantum dot with spin-orbit coupling
• Protected Solid-State Qubits
• Spacetime foam induced collective bundling of intense fields
• Non-Markovian decay and dynamics of decoherence in private and public environments
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• Observable geometric phase induced by a cyclically evolving dissipative process
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• Dynamics of the Non-equilibrium spin Boson Model: A Benchmark of master equations and their validity
• Higher order perturbation theory for decoherence in Grover's algorithm
• Universal quantum computation with symmetric qubit clusters coupled to an environment
• Limitations of practical multi-photon decoherence-free states
• Quantum irreversible decoherence behaviour in open quantum systems with few degrees of freedom. Application to 1H NMR reversion experiments in nematic liquid crystals
• Regular patterns in the information flow of local dephasing channels
• Protecting Two-Qubit Quantum States by $\pi$-Phase Pulses
• New insights into electron spin dynamics in the presence of correlated noise
• Coherent Ro-vibrational Revivals in a Thermal Molecular Ensemble
• The resource theory of coherence for quantum channels
• Qubit coherence decay down to threshold: influence of substrate dimensions
• On the role of initial coherence in the spin phase-space entropy production rate
• Improving the purity of one- and two-qubit gates by AC fields
• Initial correlations effects on decoherence at zero temperature
• Loss of coherence and dressing in QED
• Optical implementation of a unitarily correctable code
• Effects of imperfect noise correlations on decoherence-free subsystems: SU(2) diffusion model
• Entanglement Pre-thermalization in an Interaction Quench between Two Harmonic Oscillators
• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
• Collective photon emission in solid state environments: Concatenating non-markovian and markovian dynamics
• DQC1 as an Open Quantum System
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Read-out of Quasi-periodic Systems using Qubits
• Non-Markovian quantum dissipative processes with the same positive features as Markovian dissipative processes
• Proposal for high-fidelity quantum simulation using a hybrid dressed state
• Probing Polariton Dynamics in Trapped Ions with Phase-Coherent Two-Dimensional Spectroscopy
• Entanglement Evolution via Quantum Resonances
• Connecting two jumplike unravelings for non-Markovian open quantum systems
• Pure Phase Decoherence in a Ring Geometry
• Entanglement production by quantum error correction in the presence of correlated environment
• On noise-induced superselection rules
• Quantitative Treatment of Decoherence
• Sensitivity of entangled photon holes to loss and amplification
• Suppression of Decoherence by Periodic Forcing
• Overlapping Resonances in Open Quantum Systems
• Coupling qubits in circuit-QED cavities connected by a bridge qubit
• Production of Entanglement Entropy by Decoherence
• Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
• Quantum bath statistics tagging
• Conditions for superdecoherence
• Qubit dynamics with classical noise
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Comparison of Distances and Entropic Distinguishability Quantifiers for the Detection of Memory Effects
• Quantum information flow in impurity qubits interacting with Bose-Bose mixtures
• Decoherence dynamics in molecular qubits: Exponential, Gaussian and beyond
• Quantum dynamics of a macroscopic magnet operating as environment of a mechanical oscillator
• Decoherence-Insensitive Quantum Communication by Optimal C^*-Encoding
• Dynamics of large anisotropic spin in a sub-ohmic dissipative environment close to a quantum-phase transition
• The role of master clock stability in scalable quantum information processing
• Coherence protection in coupled quantum systems
• Exact solution of qubit decoherence models by a transfer matrix method
• Pre-management of Disentanglement
• Diffusive lossless energy and coherence transfer by noisy coupling
• Quantum Mpemba Effect Induced by Non-Markovian Exceptional Points
• Hyperfine-assisted decoherence of a phosphorus nuclear-spin qubit in silicon
• Quantum communication between trapped ions through a dissipative environment
• Boson-boson pure-dephasing model with non-Markovian properties
• Distillation by repeated measurements: continuous spectrum case
• Representations of canonical commutation relations describing infinite coherent states
• Time-invariant Discord: High Temperature Limit and Initial Environmental Correlations
• Intrinsic bounds of a two-qudit random evolution
• High order quantum decoherence via multi-particle amplitude for boson system
• Spin manipulation and spin dephasing in quantum dot integrated with a slanting magnetic field
• 5-qubit quantum error correction in a charge qubit quantum computer
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Persistent nonlocality in an ultracold-atom environment
• Theory on electron-phonon spin dehphasing in GaAs multi-electron double quantum dots
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
• Generalized Entropic Quantum Speed Limits
• A machine learning based approach to the identification of spectral densities in quantum open systems
• Frozen and Invariant Quantum Discord under Local Dephasing Noise
• Purification of Quantum State through Zeno-like Measurements
• Classical branches and entanglement structure in the wavefunction of cosmological fluctuations
• Quantum Computation in a radio single mode cavity: the dissipative Jaynes and Cummings Model
• Information flow at the quantum-classical boundary
• Optimized pulse sequences for suppressing unwanted transitions in quantum systems
• Dynamical Aspects of Information Storage in Quantum-Mechanical Systems
• Understanding destruction of nth-order quantum coherence in terms of multi-path interference
• Revealing correlated noise with single-qubit operations
• Controlling dephasing of coupled qubits via shared-bath coherence
• Universal quantum logic gates in a scalable Ising spin quantum computer
• Bath energy for correlated initial states versus information flow in local dephasing channels
• Decoherence of Two-Level Systems Can Be Very Different From Brownian Particles
• Quantum evolution speed in the finite-temperature bosonic environment
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Scale decoherence in inhomogeneous potentials
• Decoherence of encoded quantum registers
• A unification of the coding theory and OAQEC perspective on hybrid codes
• Targeting qubit states using open-loop control
• Protection of entanglement between two two-level atoms
• Energy additivity as a requirement for universal quantum thermodynamical frameworks
• Extraction of a squeezed state in a field mode via repeated measurements on an auxiliary quantum particle
• Sensing microscopic noise events by frequent quantum measurements
• Damped oscillations of the energy of a bosonic bath due to spectral gaps and special initial correlations
• Copycat process in the early stages of einselection
• Approaches to Quantum Error Correction
• Quasi-classical Limit of a Spin Coupled to a Reservoir
• Dynamical stability of entanglement between spin ensembles
• Degenerate Landau-Zener model in the presence of quantum noise
• Adiabatic quantum decoherence in many non-interacting subsystems induced by the coupling with a common boson bath
• Molecular architectures based on pi-conjugated block copolymers for global quantum computation
• Imitating quantum mechanics: qubit-based model for simulation
• Robustness of deformed catlike states under dissipative decoherence
• Encoded Universality of Quantum Computations on the Multi-Atomic Ensembles in the QED Cavity
• Quantum erasure in the presence of a thermal bath: the effects of system-environment microscopic correlations
• Minimum entropy production effect on a quantum scale
• Transport properties of a periodically driven superconducting single electron transistor
• Correlations in interference and diffraction
• Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states
• Codeword Stabilized Codes from m-Uniform Graph States
• Characterization and generation of a SQL-beating catlike state through repetitive measurements
• Fisher information of accelerated two-qubit system in the presence of the color and white noise channels
• Decoherence of the quantum logic gate implemented with the Jaynes-Cummings model: A semiclassical approach
• Open n-Qubit System as a Quantum Computer with Four-Valued Logic
• Model of a Programmable Quantum Processing Device
• Fidelity as a figure of merit in quantum error correction
• Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits
• Evolution towards quasi-equilibrium in nematic liquid crystals studied through decoherence of multi-spin multiple-quantum coherences
• Decoding Quantum Error Correction Codes with Local Variation
• Protecting quantum systems from decoherence with unitary operations
• Evolution of Entanglement of Two Qubits Interacting through Local and Collective Environments
• Material Science for Quantum Computing with Atom Chips