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Channel purification via continuous-variable quantum teleportation with Gaussian post-selection
Quantum Physics · Submitted 26 Aug 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We first show that the global transformation enacted by the protocol is equivalent to an effective system composed of a noiseless amplification (or attenuation), and an effective quantum channel, which can in theory have no loss and an amount of thermal noise arbitrarily small, hence tending to an identity channel.
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The abstract, sentence by sentence
We present a protocol based on continuous-variable quantum teleportation and Gaussian post- selection that can be used to correct errors introduced by a lossy channel. We first show that the global transformation enacted by the protocol is equivalent to an effective system composed of a noiseless amplification (or attenuation), and an effective quantum channel, which can in theory have no loss and an amount of thermal noise arbitrarily small, hence tending to an identity channel. An application of our protocol is the probabilistic purification of quantum non-Gaussian states using only Gaussian operations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a protocol based on continuous-variable quantum teleportation and Gaussian post- selection that can be used to correct errors introduced by a lossy channel. | contribution 0.97 | 0.87 | 0.41 | asserted 0.54 |
| s1 | We first show that the global transformation enacted by the protocol is equivalent to an effective system composed of a noiseless amplification (or attenuation), and an effective quantum channel, which can in theory have no loss and an amount of thermal noise arbitrarily small, hence tending to an identity channel. | result 0.83 | 0.88 | 0.50 | asserted 0.93 |
| s2 | An application of our protocol is the probabilistic purification of quantum non-Gaussian states using only Gaussian operations. | contribution 0.45 | 0.68 | 0.19 | asserted 0.79 |
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The paper
Original abstract
We present a protocol based on continuous-variable quantum teleportation and Gaussian post- selection that can be used to correct errors introduced by a lossy channel. We first show that the global transformation enacted by the protocol is equivalent to an effective system composed of a noiseless amplification (or attenuation), and an effective quantum channel, which can in theory have no loss and an amount of thermal noise arbitrarily small, hence tending to an identity channel. An application of our protocol is the probabilistic purification of quantum non-Gaussian states using only Gaussian operations.
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How the literature uses it
1 arXiv paper cite this in 2 sentences
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Uses the method or tool of 2 papers
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Since the whole process including the post-selection and the teleportation is Gaussian, and acting symmetrically on both quadratures, one can expect to write $σ_NLA(α)$ as a displaced thermal state, with a variance that we note $V_out$ and a displacement $G α$, following the same method as [ref] . $V_out$ will be the result of two contributions: the first one is the noise $ϵ_B$ due to the imperfect channel for each homodyne outcome, contained in $V_B :=1+ϵ_B$ [ref], which is independent of the classical gain $ϕ$.
Noiseless Linear Amplification and Quantum Channels · Towards the effective system · 0.97
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Interpreting the Gaussian noise as a random displacement [ref] , the normalized output state of the two effective channels is given by [equation] where $Δ_ch=Δ/2$.
Gaussian states in continuous variable quantum information · Teleporter and post-selection · 0.94
Cites as background 2 papers
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The noiseless linear amplifier (resp. attenuator) is a probabilistic operation described by an unbounded operator $g^n̂$ [Note that $g^n̂$ is actually unbounded only for $g>1$.], with $g≥1$ (resp. $g≤1$), which transforms a coherent state $|α⟩$ to [ref] [equation] The NLA features many interesting properties and transforms mixed states in a non-trivial way [ref] , which can result in a reduction of the encountered loss.
Nondeterministic Noiseless Linear Amplification of Quantum Systems · Introduction · 0.83
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The noiseless linear amplifier (resp. attenuator) is a probabilistic operation described by an unbounded operator $g^n̂$ [Note that $g^n̂$ is actually unbounded only for $g>1$.], with $g≥1$ (resp. $g≤1$), which transforms a coherent state $|α⟩$ to [ref] [equation] The NLA features many interesting properties and transforms mixed states in a non-trivial way [ref] , which can result in a reduction of the encountered loss.
Noiseless Linear Amplification and Quantum Channels · Introduction · 0.83
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