A geometrical description of the universal $1\to 2$ asymmetric quantum cloning region

Abstract

We consider the problem of determining the achievable region of parameters for universal $1\to 2$ asymmetric quantum cloning. Measuring the cloning performance with the figure of merit of singlet fraction, we show that the physical region is a union of ellipses in the plane. Equivalently, we characterize the parameter region of quantum state compatibility of two possibly different isotropic states, considering, for the first time, negative singlet fractions.

References in corpus (15)

• Quantum Copying: Beyond the No-Cloning Theorem
• Optimal Cloning of Pure States
• Entanglement Measures under Symmetry
• Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
• Phase covariant quantum cloning
• Optimal universal quantum cloning and state estimation
• An Invitation to Quantum Incompatibility
• Optimal Cloning of Pure States, Judging Single Clones
• Asymmetric quantum cloning machines in any dimension
• Separability properties of tripartite states with UxUxU-symmetry
• Two qubit copying machine for economical quantum eavesdropping
• Optimal Cloning and Singlet Monogamy
• Quantum Channel Marginal Problem
• Group representation approach to 1 - N universal quantum cloning machines
• Region of fidelities for a 1 -> N universal qubit quantum cloner

Cited by in corpus (3)

• Linear programming with unitary-equivariant constraints
• The Asymmetric Quantum Cloning Region
• A Fisher information-based incompatibility criterion for quantum channels