Abstract
A separability test for density matrices of compound quantum systems proposed recently by Peres is formulated in a manifestly basis independent way using antiunitary operators. We prove that the test amounts to a criterion for pure states, while it is known to fail to do so in the case of mixed states. An interesting connection with the operation of time reversal is thus exhibited.
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References
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Busch, P., Lahti, P.J. Remarks on separability of compound quantum systems and time reversal. Found Phys Lett 10, 113–117 (1997). https://doi.org/10.1007/BF02764233
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DOI: https://doi.org/10.1007/BF02764233