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Linear-optics realization of channels for single-photon multimode qudits
Quantum Physics · Submitted 15 Dec 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim With our method it is possible to deterministically implement random-unitary channels and to stochastically implement general, non-unital channels.
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The abstract, sentence by sentence
We propose and theoretically study a method for the stochastic realization of arbitrary quantum channels on multimode single-photon qudits. In order for our method to be undemanding in its implementation, we restrict our analysis to linear-optical techniques, vacuum ancillary states and non-adaptive schemes, but we allow for random switching between different optical networks. With our method it is possible to deterministically implement random-unitary channels and to stochastically implement general, non-unital channels. We provide an expression for the optimal probability of success of our scheme and calculate this quantity for specific examples like the qubit amplitude-damping channel. The success probability is shown to be related to the entanglement properties of the Choi-Jamiolkowski state isomorphic to the channel.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose and theoretically study a method for the stochastic realization of arbitrary quantum channels on multimode single-photon qudits. | contribution 1.00 | 0.87 | 0.24 | asserted 0.80 |
| s1 | In order for our method to be undemanding in its implementation, we restrict our analysis to linear-optical techniques, vacuum ancillary states and non-adaptive schemes, but we allow for random switching between different optical networks. | limitation 0.67 | 0.70 | 0.05 | asserted 0.95 |
| s2 | With our method it is possible to deterministically implement random-unitary channels and to stochastically implement general, non-unital channels. | result 0.86 | 0.79 | 0.53 | hedged possibility 0.81 |
| s3 | We provide an expression for the optimal probability of success of our scheme and calculate this quantity for specific examples like the qubit amplitude-damping channel. | result 0.60 | 0.94 | 0.12 | asserted 1.00 |
| s4 | The success probability is shown to be related to the entanglement properties of the Choi-Jamiolkowski state isomorphic to the channel. | result 0.84 | 0.86 | 0.17 | asserted 1.00 |
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The paper
Original abstract
We propose and theoretically study a method for the stochastic realization of arbitrary quantum channels on multimode single-photon qudits. In order for our method to be undemanding in its implementation, we restrict our analysis to linear-optical techniques, vacuum ancillary states and non-adaptive schemes, but we allow for random switching between different optical networks. With our method it is possible to deterministically implement random-unitary channels and to stochastically implement general, non-unital channels. We provide an expression for the optimal probability of success of our scheme and calculate this quantity for specific examples like the qubit amplitude-damping channel. The success probability is shown to be related to the entanglement properties of the Choi-Jamiolkowski state isomorphic to the channel.
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