Decoherence-Free Subspaces and Subsystems

@inproceedings{Lidar2003DecoherenceFreeSA,
  title={Decoherence-Free Subspaces and Subsystems},
  author={Daniel A. Lidar and K. Birgitta Whaley University of Toronto and University of Southern California and Berkeley},
  year={2003}
}
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. 

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References

SHOWING 1-10 OF 113 REFERENCES

Quantum computing using dissipation to remain in a decoherence-free subspace

TLDR
A new approach to the implementation of quantum gates is proposed in which decoherence during the gate operations is strongly reduced by making use of an environment induced quantum Zeno effect that confines the dynamics effectively to a decoherent-free subspace.

Decoherence-Free Subspaces for Quantum Computation

TLDR
It is shown that decoherence-free subspaces are stable to perturbations and, moreover, that universal quantum computation is possible within them.

Experimental verification of decoherence-free subspaces.

Using spontaneous parametric down-conversion, we produce polarization-entangled states of two photons and characterize them using two-photon tomography to measure the density matrix. A controllable

Decoherence-free subspaces for multiple-qubit errors. I. Characterization

Coherence in an open quantum system is degraded through its interaction with a bath. This decoherence can be avoided by restricting the dynamics of the system to special decoherence-free subspaces.

Creating decoherence-free subspaces using strong and fast pulses.

TLDR
This work gives explicit sequences of strong and fast [bang-bang] pulses that create the conditions allowing for the existence of DFSs that support scalable, universal quantum computation.

DYNAMICAL SUPPRESSION OF DECOHERENCE IN TWO-STATE QUANTUM SYSTEMS

The dynamics of a decohering two-level system driven by a suitable control Hamiltonian is studied. The control procedure is implemented as a sequence of radio-frequency pulses that repetitively flip

Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation

Decoherence-free subspaces (DFSs) shield quantum information from errors induced by the interaction with an uncontrollable environment. Here we study a model of correlated errors forming an Abelian

Reducing decoherence in quantum-computer memory with all quantum bits coupling to the same environment

Decoherence in quantum-computer memory due to the inevitable coupling to the external environment is examined. We make the assumption that all quantum bits (qubits) interact with the same environment

CONCATENATING DECOHERENCE-FREE SUBSPACES WITH QUANTUM ERROR CORRECTING CODES

An operator sum representation is derived for a decoherence-free subspace (DFS) and used to (i) show that DFS’s are the class of quantum error correcting codes (QECC’s) with fixed, unitary recovery

Suppression of decoherence in quantum registers by entanglement with a nonequilibrium environment

It is shown that a nonequilibrium environment can be instrumental in suppressing decoherence between distinct decoherence free subspaces in quantum registers. The effect is found in the framework of
...