Decoherence-Free Subspaces and Subsystems

Abstract

Decoherence is the phenomenon of non-unitary dynamics that arises as a consequence of coupling between a system and its environment. It has important harmful implications for quantum information processing, and various solutions to the problem have been proposed. Here we provide a detailed a review of the theory of decoherence-free subspaces and subsystems, focusing on their usefulness for preservation of quantum information.

Review paper. To be published as a book chapter

References in corpus (14)

• Creating Decoherence-Free Subspaces with Strong and Fast Pulses
• Reducing Constraints on Quantum Computer Design by Encoded Selective Recoupling
• Implementation of Universal Control on a Decoherence-Free Qubit
• Efficient Universal Leakage Elimination for Physical and Encoded Qubits
• Combined encoding and decoupling solution to problems of decoherence and design in solid-state quantum computing
• On Quantum Control via Encoded Dynamical Decoupling
• Stabilizing distinguishable qubits against spontaneous decay by detected-jump correcting quantum codes
• Encoded Recoupling and Decoupling: An Alternative to Quantum Error Correcting Codes, Applied to Trapped Ion Quantum Computation
• Exploring Noiseless Subsystems via Nuclear Magnetic Resonance
• Decoherence, Control, and Symmetry in Quantum Computers
• Universal Fault-Tolerant Quantum Computation in the Presence of Spontaneous Emission and Collective Dephasing
• Combined Error Correction Techniques for Quantum Computing Architectures
• Two Qubit Quantum Computing in a Projected Subspace
• Suppression of decoherence in quantum registers by entanglement with a nonequilibrium environment

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