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An exact effective two-qubit gate in a chain of three spins
Quantum Physics · Submitted 11 Dec 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that an effective two-qubit gate can be obtained from the free evolution of three spins in a chain with nearest neighbor XY coupling, without local manipulations.
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The abstract, sentence by sentence
We show that an effective two-qubit gate can be obtained from the free evolution of three spins in a chain with nearest neighbor XY coupling, without local manipulations. This gate acts on the two remote spins and leaves the mediating spin unchanged. It can be used to perfectly transfer an arbitrary quantum state from the first spin to the last spin or to simultaneously communicate one classical bit in each direction. One ebit can be generated in half of the time for state transfer. For longer spin chains, we present methods to create or transfer entanglement between the two end spins in half of the time required for quantum state transfer, given tunable coupling strength and local magnetic field. We also examine imperfect state transfer through a homogeneous XY chain.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that an effective two-qubit gate can be obtained from the free evolution of three spins in a chain with nearest neighbor XY coupling, without local manipulations. | contribution 0.89 | 0.93 | 0.85 | asserted 1.00 |
| s1 | This gate acts on the two remote spins and leaves the mediating spin unchanged. | result 0.90 | 0.86 | 0.17 | asserted 1.00 |
| s2 | It can be used to perfectly transfer an arbitrary quantum state from the first spin to the last spin or to simultaneously communicate one classical bit in each direction. | result 0.77 | 0.80 | 0.20 | asserted 0.66 |
| s3 | One ebit can be generated in half of the time for state transfer. | result 0.98 | 0.86 | 0.13 | asserted 0.98 |
| s4 | For longer spin chains, we present methods to create or transfer entanglement between the two end spins in half of the time required for quantum state transfer, given tunable coupling strength and local magnetic field. | contribution 0.81 | 0.90 | 0.12 | asserted 0.95 |
| s5 | We also examine imperfect state transfer through a homogeneous XY chain. | contribution 0.93 | 0.83 | 0.03 | asserted 0.61 |
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The paper
Original abstract
We show that an effective two-qubit gate can be obtained from the free evolution of three spins in a chain with nearest neighbor XY coupling, without local manipulations. This gate acts on the two remote spins and leaves the mediating spin unchanged. It can be used to perfectly transfer an arbitrary quantum state from the first spin to the last spin or to simultaneously communicate one classical bit in each direction. One ebit can be generated in half of the time for state transfer. For longer spin chains, we present methods to create or transfer entanglement between the two end spins in half of the time required for quantum state transfer, given tunable coupling strength and local magnetic field. We also examine imperfect state transfer through a homogeneous XY chain.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it
Cites it as background 2 papers
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Among various physical systems and geometries [ref] , the transfer of a quantum state through a one-dimensional spin chain [ref] is among the most studied.
Automatic spin-chain learning to explore the quantum speed limit · Introduction · 0.94
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Several proposals have been developed in the literature each with their own associated strengths and drawbacks [ref] , while there has been remarkable advances in the experimental generation of GME states [ref] .
Robust multipartite entanglement generation via a collision model · Introduction · 0.87
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