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General Detectability Measure
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DOI：10.1007/s00220-025-05469-1.png)
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Abstract
En 中文
Distinguishing resource states from resource-free states is a fundamental task in quantum information. We have approached the state detection problem through a hypothesis testing framework, with the alternative hypothesis set comprising resource-free states in a general context. Consequently, we derived the optimal exponential decay rate of the failure probability for detecting a given n-tensor product state when the resource-free states are separable states, positive partial transpose states, or the convex hull of the set of stabilizer states. This optimal exponential decay rate is determined by the minimum of the reverse relative entropy, indicating that this minimum value serves as the general detectability measure. The key technique of this paper is a quantum version of empirical distribution.
Keywords:
KRONECKER COEFFICIENTS
ENTANGLEMENT MEASURES
STEINS LEMMA
QUANTUM
SEPARABILITY
CAPACITY
FORMULAS
STATES
Journal
C
IF:
2.6
Papers:
195
Citations:
0
Organization
Cited Papers
Optimal sequence of quantum measurements in the sense of Stein s lemma in quantum hypothesis testing
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