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Incomplete quantum process tomography and principle of maximal entropy

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arxiv 0802.3892 v3 pith:YXZ7SFBO submitted 2008-02-26 quant-ph

classification quant-ph
keywords processentropyprinciplemaxentquantumwillestimationincomplete
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The main goal of this paper is to extend and apply the principle of maximum entropy (MaxEnt) to incomplete quantum process estimation tasks. We will define a so-called process entropy function being the von Neumann entropy of the state associated with the quantum process via Choi-Jamiolkowski isomorphism. It will be shown that an arbitrary process estimation experiment can be reformulated in a unified framework and MaxEnt principle can be consistently exploited. We will argue that the suggested choice for the process entropy satisfies natural list of properties and it reduces to the state MaxEnt principle, if applied to preparator devices.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Maximum channel entropy principle and microcanonical channels

    quant-ph 2025-08 unverdicted novelty 7.0 of 10

    A maximum-entropy principle for quantum channels yields thermal channels with exponential form, analogous to thermal states.

  2. Thermalization with partial information

    quant-ph 2025-08 unverdicted novelty 6.0 of 10

    A maximum channel entropy principle, backed by a microcanonical-style derivation, identifies the canonical noisy channel that models thermalization under partial information.

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