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SVD Entanglement Entropy
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In this paper, we introduce a new quantity called SVD entanglement entropy. This is a generalization of entanglement entropy in that it depends on two different states, as in pre- and post-selection processes. This SVD entanglement entropy takes non-negative real values and is bounded by the logarithm of the Hilbert space dimensions. The SVD entanglement entropy can be interpreted as the average number of Bell pairs distillable from intermediates states. We observe that the SVD entanglement entropy gets enhanced when the two states are in the different quantum phases in an explicit example of the transverse-field Ising model. Moreover, we calculate the R\'enyi SVD entropy in various field theories and examine holographic calculations using the AdS/CFT correspondence.
Forward citations
Cited by 2 Pith papers
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Spacetime Density Matrix: Formalism and Properties
The paper constructs a spacetime generalization of the density matrix whose full moments are time-independent but whose reduced moments become nontrivial, coupling-sensitive probes of subsystem dynamics.
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Thermal Pseudo-Entropy
Thermal pseudo-entropy is the analytic continuation S(β+it) of thermal entropy, equals the pseudo-entropy of a Thermofield Double transition matrix, and its averaged real part tracks the spectral form factor.
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