Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.
Measuring entanglement entropy of a generic many-body system with a quantum switch
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abstract
Entanglement entropy has become an important theoretical concept in condensed matter physics, because it provides a unique tool for characterizing quantum mechanical many-body phases and new kinds of quantum order. However, the experimental measurement of entanglement entropy in a many-body systems is widely believed to be unfeasible, owing to the nonlocal character of this quantity. Here, we propose a general method to measure the entanglement entropy. The method is based on a quantum switch (a two-level system) coupled to a composite system consisting of several copies of the original many-body system. The state of the switch controls how different parts of the composite system connect to each other. We show that, by studying the dynamics of the quantum switch only, the Renyi entanglement entropy of the many-body system can be extracted. We propose a possible design of the quantum switch, which can be realized in cold atomic systems. Our work provides a route towards testing the scaling of entanglement in critical systems, as well as a method for a direct experimental detection of topological order.
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2026 2verdicts
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A variational quantum SVD framework with classical orthogonality correction enables high-precision extraction of Schmidt components from bipartite states using shallow circuits and classical tensor-network post-processing.
citing papers explorer
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Imaginary pseudo entropy encodes temporal orientation
Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.
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High-Precision Variational Quantum SVD via Classical Orthogonality Correction
A variational quantum SVD framework with classical orthogonality correction enables high-precision extraction of Schmidt components from bipartite states using shallow circuits and classical tensor-network post-processing.