Quantum / CONCEPT
Binomial and kappa states do not exhaust truncated entropy minimizers
The loss-dephasing channel of Memarzadeh and Mancini has a qutrit input with strictly smaller output entropy than every binomial or kappa candidate at the same input energy. The channel is defined by the Kraus equations, including the infinite phase-Kraus series.
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DIRECT CONSEQUENCES3
PROOF DEPTH3
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Two-point spreading decreases entropy
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RELATED KNOWLEDGE
Structural connections
- ChannelTimeReversalNoGostructural-affinity · Closed
- Entropystructural-affinity · Closed
- In-between states do not always minimize Bayesian transmissivity errorstructural-affinity · Closed
- In-between states need not be optimal for a beta priorstructural-affinity · Closed
- Increasing DomiRank entropy on connected nonregular graphsstructural-affinity · Closed
- Maximum Entropy on a Finite Alphabetstructural-affinity · Closed
- Refuting the density-tensor nuclear-norm equality conjecturestructural-affinity · Closed
- The Entropy-Divergence Consistency Identitystructural-affinity · Closed
- The equiprobable pretty-good-measurement comparison of Cha and Lee failsstructural-affinity · Closed
- The Pure-State Handshakestructural-affinity · Closed
- The qutrit complementary-entropy frontierstructural-affinity · Closed
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