Local Cloning of Entangled Qubits

Abstract

We discuss the exact cloning of orthogonal but entangled qubits under local operations and classical communication. The amount of entanglement necessary in blank copy is obtained for various cases. Surprisingly this amount is more than 1 ebit for certain set of two nonmaximal but equally entangled states of two qubits system. To clone any three two qubits Bell states at least log2 3 ebit is necessary.

6 pages, 2 figures

References in corpus (10)

• A computable measure of entanglement
• Quantifying Entanglement
• Entanglement Measures and Purification Procedures
• On the volume of the set of mixed entangled states
• Distinguishability of the Bell states
• Local copying and local discrimination as a study for non-locality of a set
• Local copying of orthogonal entangled quantum states
• Local cloning of Bell states and distillable entanglement
• Local Cloning of Arbitrarily Entangled Multipartite States
• Mixture of multiple copies of maximally entangled states is quasi-pure

Cited by in corpus (5)

• Local cloning of entangled states
• Local cloning of genuine entangled states of three qubit
• Comment on "Local Copying of $d\times d$-dimensional Partially Entangled Pure States"
• Local cloning of CAT states
• Test of Common Sense in Quantum Copying Process