Relations between cloning and the universal NOT from conservation laws

Abstract

We discuss certain relations between cloning and the NOT operation that can be derived from conservation laws alone. Those relations link the limitations on cloning and the NOT operation possibly imposed by {\em other} laws of Nature. Our result is quite general and holds both in classical and quantum-mechanical worlds, for both optimal and suboptimal operations, and for bosons as well as fermions.

3 pages, almost equal to published version

References in corpus (6)

• Quantum Copying: Beyond the No-Cloning Theorem
• Optimal Quantum Cloning Machines
• Experimental Quantum Cloning of Single Photons
• Spin flips and quantum information for anti-parallel spins
• Optimal Quantum Cloning via Stimulated Emission
• Contextual, Optimal and Universal Realization of the Quantum Cloning Machine and of the NOT gate

Cited by in corpus (13)

• Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
• Procedures for realizing an approximate universal NOT gate
• 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
• Orthogonalization of partly unknown quantum states
• Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory
• No-Cloning and No-Deleting theorems through the existence of Incomparable states under LOCC
• Experimental reversion of the optimal quantum cloning and flipping processes
• Character of superposed states under deterministic LOCC
• Experimental demonstration of error-insensitive approximate universal-NOT gates
• Fundamental limits to contrast reversal of survival probability correlations
• From no causal loop to absoluteness of cause: discarding the quantum NOT logic
• Entanglement - A Queer In The World Of Quantum : Some Perspectives