Probabilistic exact cloning and probabilistic no-signalling

Abstract

We show that non-local resources cannot be used for probabilistic signalling even if one can produce exact clones with the help of a probabilistic quantum cloning machine (PQCM). We show that PQCM cannot help to distinguish two statistical mixtures at a remote location. Thus quantum theory rules out the possibility of sending superluminal signals not only deterministically but also probabilistically. We give a bound on the success probability of producing multiple clones in an entangled system.

Latex file, 6 pages, minor corrections

References in corpus (4)

• Impossibility of deleting an unknown quantum state
• "Assisted cloning'' and "orthogonal-complementing" of an unknown state
• No Signalling and Probabilistic Quantum Cloning
• Optimal Cloning and No Signaling

Cited by in corpus (8)

• Quantum deleting and Signalling
• No-Flipping as a consequence of No-Signalling and Non-increase of Entanglement under LOCC
• Impossibility of Exact Flipping of Three Arbitrary Quantum States Via Incomparability
• No-Cloning and No-Deleting theorems through the existence of Incomparable states under LOCC
• Fundamental limits on quantum cloning from the no-signalling principle
• Background Independent Quantum Mechanics, Metric of Quantum States, and Gravity: A Comprehensive Perspective
• Probabilistic exact deletion and probabilistic no-signalling
• Violation of no signaling in higher order quantum measure theories