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- W4304698997 abstract "We study two-state discrimination in chaotic quantum systems. Assuming that one of two $N$-qubit pure states has been randomly selected, the probability to correctly identify the selected state from an optimally chosen experiment involving a subset of $N-N_B$ qubits is given by the trace-distance of the states, with $N_B$ qubits partially traced out. In the thermodynamic limit $Ntoinfty$, the average subsystem trace-distance for random pure states makes a sharp, first order transition from unity to zero at $f=1/2$, as the fraction $f=N_B/N$ of unmeasured qubits is increased. We analytically calculate the corresponding crossover for finite numbers $N$ of qubits, study how it is affected by the presence of local conservation laws, and test our predictions against exact diagonalization of models for many-body chaos." @default.
- W4304698997 created "2022-10-12" @default.
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- W4304698997 date "2022-10-06" @default.
- W4304698997 modified "2023-09-27" @default.
- W4304698997 title "Subsystem Trace-Distances of Random States" @default.
- W4304698997 doi "https://doi.org/10.48550/arxiv.2210.03213" @default.
- W4304698997 hasPublicationYear "2022" @default.
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