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University of Illinois Urbana-Champaign
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A NEW BOUND ON QUBIT ENTANGLEMENT DISTILLATION
Pollock, Klee
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https://hdl.handle.net/2142/125069
Description
Title
A NEW BOUND ON QUBIT ENTANGLEMENT DISTILLATION
Author(s)
Pollock, Klee
Issue Date
2020-05-01
Keyword(s)
Qubit; LOCC; Entanglement of Assistance; Entanglement Distillation
Date of Ingest
2024-11-08T10:32:15-06:00
Abstract
In this thesis we study the theory of entanglement among qubits, and derive a new limit on the rate at which we may convert different forms of entanglement in an optimal way. In particular, we prove that for an arbitrary three qubit state held by Alice, Bob and Charlie, the optimal probability to distill a two qubit Bell pair held by Alice and Bob is the smaller of two numbers: the entanglement between Alice and the Bob+Charlie system, and the entanglement between the Bob and Alice+Charlie system. If one desires two qubit entanglement for a particular information processing task where Bell pairs are needed (for example quantum state teleportation), but has for whatever reason a source of three qubit entanglement, this result can help predict the feasibility of carrying out the task.
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