Purification to Locally Maximally Entangleable States

Abstract

Locally maximally entangleable states (LMESs) constitute a large set of multipartite states, containing for instance all stabilizer states. LMESs are uniquely characterized by (2n-1) phases, where n denotes the number of qubits. We consider here those LMES whose phases are either 0 or π and present a multipartite entanglement purification protocol for arbitrary such states. In contrast to all previously known recurrence protocols this protocol uses a novel ingredient, which is required due to the quantum correlations contained in the various LMESs. We compare this scheme to previously known entanglement purification protocols and show that the direct purification performs better than previously known protocols.

References in corpus (7)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Multi-party entanglement in graph states
• Entanglement purification and quantum error correction
• Entanglement purification protocols for all graph states
• Distillation of multipartite entanglement by complementary stabilizer measurements
• Purification of large bicolorable graph states
• Decoherence of many-body systems due to many-body interactions