Quantum deleting and Signalling

Abstract

It is known that if we can clone an arbitrary state we can send signal faster than light. Here, we show that deletion of unknown quantum state against a copy can lead to superluminal signalling. But erasure of unknown quantum state does not imply faster than light signalling.

Latex file, 6 pages, no figures

References in corpus (3)

• Impossibility of deleting an unknown quantum state
• Optimal Cloning and No Signaling
• Probabilistic exact cloning and probabilistic no-signalling

Cited by in corpus (15)

• Helstrom Theorem by No-Signaling Condition
• 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
• Complementarity of Quantum Correlations in Cloning and Deleting of Quantum State
• No-Cloning and No-Deleting theorems through the existence of Incomparable states under LOCC
• Revisiting impossible quantum operations using principle of no-signalling and non increase of entanglement under LOCC
• Self Replication and Signalling
• Probabilistic exact deletion and probabilistic no-signalling
• Inseparability of Quantum Parameters
• Quantum no-go theorems in causality respecting systems in presence of closed timelike curves: Tweaking the Deutsch condition
• Using the no-signaling condition for constraining the nonidealness of a Stern-Gerlach setup
• Optimal and covariant single-copy LOCC transformation between two two-qubit states
• A testable prediction of the no-signalling condition using a variant of the EPR-Bohm example
• Violation of no signaling in higher order quantum measure theories
• Distinguishing two preparations for same pure state leads to signalling