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Entanglement and Collective Quantum Operations
Quantum Physics · Submitted 16 Mar 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show how shared entanglement, together with classical communication and local quantum operations, can be used to perform an arbitrary collective quantum operation upon N spatially-separated qubits.
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The abstract, sentence by sentence
We show how shared entanglement, together with classical communication and local quantum operations, can be used to perform an arbitrary collective quantum operation upon N spatially-separated qubits. A simple teleportation-based protocol for achieving this, which requires 2(N-1) ebits of shared, bipartite entanglement and 4(N-1) classical bits, is proposed. In terms of the total required entanglement, this protocol is shown to be optimal for even N in both the asymptotic limit and for `one-shot' applications.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show how shared entanglement, together with classical communication and local quantum operations, can be used to perform an arbitrary collective quantum operation upon N spatially-separated qubits. | contribution 0.89 | 0.92 | 0.88 | asserted 1.00 |
| s1 | A simple teleportation-based protocol for achieving this, which requires 2(N-1) ebits of shared, bipartite entanglement and 4(N-1) classical bits, is proposed. | method 0.87 | 0.84 | 0.14 | asserted 0.88 |
| s2 | In terms of the total required entanglement, this protocol is shown to be optimal for even N in both the asymptotic limit and for `one-shot' applications. | result 0.98 | 0.92 | 0.25 | asserted 1.00 |
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The paper
Original abstract
We show how shared entanglement, together with classical communication and local quantum operations, can be used to perform an arbitrary collective quantum operation upon N spatially-separated qubits. A simple teleportation-based protocol for achieving this, which requires 2(N-1) ebits of shared, bipartite entanglement and 4(N-1) classical bits, is proposed. In terms of the total required entanglement, this protocol is shown to be optimal for even N in both the asymptotic limit and for `one-shot' applications.
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See [ref] for other deterministic and probabilistic protocols.
Efficient implementation of bipartite nonlocal unitary gates using prior entanglement and classical communication · Introduction · 0.98
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