Reversible Entanglement Beyond Quantum Operations
- URL: http://arxiv.org/abs/2312.04456v1
- Date: Thu, 7 Dec 2023 17:25:28 GMT
- Title: Reversible Entanglement Beyond Quantum Operations
- Authors: Xin Wang, Yu-Ao Chen, Lei Zhang, Chenghong Zhu
- Abstract summary: We introduce a reversible theory of exact entanglement manipulation by establishing a necessary and sufficient condition for state transfer.
We show that logarithmic negativity emerges as the pivotal entanglement measure for determining entangled states' transformations.
- Score: 9.828466699951377
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We introduce a reversible theory of exact entanglement manipulation by
establishing a necessary and sufficient condition for state transfer under
trace-preserving transformations that completely preserve the positivity of
partial transpose (PPT). Under these free transformations, we show that
logarithmic negativity emerges as the pivotal entanglement measure for
determining entangled states' transformations, analogous to the role of entropy
in the second law of thermodynamics. Previous results have proven that
entanglement is irreversible under quantum operations that completely preserve
PPT and leave open the question of reversibility for quantum operations that do
not generate entanglement asymptotically. However, we find that going beyond
the complete positivity constraint imposed by standard quantum mechanics
enables a reversible theory of exact entanglement manipulation, which may
suggest a potential incompatibility between the reversibility of entanglement
and the fundamental principles of quantum mechanics.
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