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Physical Review A

Lie algebras and suppression of decoherence in open quantum systems (6 pages)

William Gordon Ritter

Published Jan 1, 2005• 0 citations
OpenAlex

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Lie algebras and suppression of decoherence in open quantum systems

William Gordon Ritter

Since there are many examples in which no decoherence-free subsystems exist (among them all cases where the error generators act irreducibly on the system Hilbert space), it is of interest to search for novel mechanisms which suppress decoherence in these more general cases. Drawing on recent work (quant-ph/0502153) we present three results which indicate decoherence suppression without the need for noiseless subsystems. There is a certain trade-off; our results do not necessarily apply to an arbitrary initial density matrix or for completely generic noise parameters. On the other hand, our computational methods are novel and the result---suppression of decoherence in the error-algebra approach without noiseless subsystems---is an interesting new direction.

arXiv:quant-ph/0508023•Physical Review A•Jul 8, 2005•2 citations

Decoherence in open quantum systems : a realistic approach

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Noise Decoupling Decoherence Suppression Strategy for Markov Open Quantum Systems

Jing Zhang, Jianyong Li, Jianwu Wu

The problem of decoherence suppression for the general N-level Markov open quantum systems is studied. Here, the quantum feedback control strategy is presented for the quantum ensemble. In order to find the control Hamiltonians and the measured observables, the new concept of the noise decoupling decomposition for the su(N) Lie algebra is introduced. It is shown that some state variables of the coherence vector of the system density matrix can be completely decoupled from the environmental noises under the feedback control.

Chinese Control Conference (CCC)•Aug 1, 2006•1 citation
Since there are many examples in which no decoherence-free subsystems exist (among them all cases where the error generators act irreducibly on the system Hilbert space), it is of interest to search for novel mechanisms which suppress decoherence in these more general cases. Drawing on recent work (quant-ph/0502153) we present three results which indicate decoherence suppression without the need for noiseless subsystems. There is a certain trade-off; our results do not necessarily apply to an arbitrary initial density matrix or for completely generic noise parameters. On the other hand, our computational methods are novel and the result---suppression of decoherence in the error-algebra approach without noiseless subsystems---is an interesting new direction.
The problem of decoherence suppression for the general N-level Markov open quantum systems is studied. Here, the quantum feedback control strategy is presented for the quantum ensemble. In order to find the control Hamiltonians and the measured observables, the new concept of the noise decoupling decomposition for the su(N) Lie algebra is introduced. It is shown that some state variables of the coherence vector of the system density matrix can be completely decoupled from the environmental noises under the feedback control.