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arxiv: 1101.4612 · v4 · pith:KIBCRQMPnew · submitted 2011-01-24 · 🪐 quant-ph · gr-qc· hep-th

A No-summoning theorem in Relativistic Quantum Theory

classification 🪐 quant-ph gr-qchep-th
keywords statequantumalicepointspace-timetheoremminkowskino-summoning
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Alice gives Bob an unknown localized physical state at some point P. At some point Q in the causal future of P, Alice will ask Bob for the state back. Bob knows this, but does not know at which point Q until the request is made. Bob can satisfy Alice's summons, with arbitrarily short delay, for a quantum state in Galilean space-time or a classical state in Minkowski space-time. However, given an unknown quantum state in Minkowski space-time, he cannot generally fulfil her summons. This {\it no-summoning theorem} is a fundamental feature of, and intrinsic to, relativistic quantum theory. It follows from the no-signalling principle and the no-cloning theorem, but not from either alone.

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