Cloning of observables

Abstract

We introduce the concept of cloning for classes of observables and classify cloning machines for qubit systems according to the number of parameters needed to describe the class under investigation. A no-cloning theorem for observables is derived and the connections between cloning of observables and joint measurements of noncommuting observables are elucidated. Relationships with cloning of states and non-demolition measurements are also analyzed.

revised and enlarged version, 2 figures

References in corpus (5)

• Phase covariant quantum cloning
• Universal cloning of continuous quantum variables
• Complementarity and the uncertainty relations
• Joint measurements via quantum cloning
• Simultaneous minimum-uncertainty measurement of discrete-valued complementary observables

Cited by in corpus (8)

• Entropic uncertainty relations for extremal unravelings of super-operators
• Biomimetic Cloning of Quantum Observables
• Degree of Quantumness in Quantum Synchronization
• Simultaneous Measurement of Two Quantum Observables: Compatibility, Broadcasting, and In-between
• Layers of classicality in the compatibility of measurements
• Cloning of a quantum measurement
• Transferring elements of a density matrix
• No-masking theorem for observables