A No-summoning theorem in Relativistic Quantum Theory

Abstract

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.

Tiny typos corrected. Titles added to some references. To appear in Quantum Information Processing

References in corpus (4)

• Quantum Tagging: Authenticating Location via Quantum Information and Relativistic Signalling Constraints
• Unconditionally Secure Bit Commitment with Flying Qudits
• Location-Dependent Communications using Quantum Entanglement
• Location-Oblivious Data Transfer with Flying Entangled Qudits

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• Quantum tasks in holography
• One-out-of-$m$ spacetime-constrained oblivious transfer
• Spacetime replication of continuous variable quantum information
• Deterministic Relativistic Quantum Bit Commitment
• S-money: virtual tokens for a relativistic economy
• Continuous-variable ramp quantum secret sharing with Gaussian states and operations
• Superoscillations underlying remote state preparation for relativistic fields
• A Scheme for Performing Strong and Weak Sequential Measurements of Non-commuting Observables
• Unconstrained Summoning for relativistic quantum information processing
• Encrypted Qubits can be Cloned
• Efficient Code for Relativistic Quantum Summoning
• Secure and Robust Transmission and Verification of Unknown Quantum States in Minkowski Space
• Distributing bipartite quantum systems under timing constraints
• Summoning, No-Signaling and Relativistic Bit Commitments
• Comparing Singlet Testing Schemes