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Journal articles
Fidelity is a Sub-Martingale for Discrete-Time Quantum Filters
Abstract : Fidelity is known to increase through any Kraus map: the fidelity between two density matrices is less than the fidelity between their images via a Kraus map. We prove here that, in average, fidelity is also increasing for discrete-time quantum filters attached to an arbitrary Kraus map: fidelity between the density matrix of the underlying Markov chain and the density matrix of the associated quantum filter is a sub-martingale. This result is not restricted to pure states. It also holds true for mixed states.
Cited literature [11 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00654164
Contributor : François Chaplais <>
Submitted on : Wednesday, December 21, 2011 - 6:41:24 AM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Thursday, March 22, 2012 - 2:21:49 AM
Contributor : François Chaplais <>
Submitted on : Wednesday, December 21, 2011 - 6:41:24 AM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Thursday, March 22, 2012 - 2:21:49 AM
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Fidelity.pdf
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