dorsal/arxiv
View SchemaOn the origin of noisy states whose teleportation fidelity can be enhanced through dissipation
| Authors | Somshubhro Bandyopadhyay |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003120 |
| URL | https://arxiv.org/abs/quant-ph/0003120 |
| DOI | 10.1103/PhysRevA.65.022302 |
| Journal | Phys. Rev. A 65, 022302 (2002) |
Abstract
Recently Badziag \emph{et al.} \cite{badziag} obtained a class of noisy states whose teleportation fidelity can be enhanced by subjecting one of the qubits to dissipative interaction with the environment via amplitude damping channel (ADC). We show that such noisy states result while sharing the states (| \Phi ^{\pm}> =\frac{1}{\sqrt{2}}(| 00> \pm | 11>)) across ADC. We also show that under similar dissipative interactions different Bell states give rise to noisy entangled states that are qualitatively very different from each other in the sense, only the noisy entangled states constructed from the Bell states (| \Phi ^{\pm}>) can \emph{}be made better sometimes by subjecting the unaffected qubit to a dissipative interaction with the environment. Importantly if the noisy state is non teleporting then it can always be made teleporting with this prescription. We derive the most general restrictions on improvement of such noisy states assuming that the damping parameters being different for both the qubits. However this curious prescription does not work for the noisy entangled states generated from (| \Psi ^{\pm}> =\frac{1}{\sqrt{2}}(| 01> \pm | 10>)). This shows that an apriori knowledge of the noisy channel might be helpful to decide which Bell state needs to be shared between Alice and Bob. \emph{}
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"abstract": "Recently Badziag \\emph{et al.} \\cite{badziag} obtained a class of noisy\nstates whose teleportation fidelity can be enhanced by subjecting one of the\nqubits to dissipative interaction with the environment via amplitude damping\nchannel (ADC). We show that such noisy states result while sharing the states\n(| \\Phi ^{\\pm}\u003e =\\frac{1}{\\sqrt{2}}(| 00\u003e \\pm | 11\u003e)) across ADC. We also show\nthat under similar dissipative interactions different Bell states give rise to\nnoisy entangled states that are qualitatively very different from each other in\nthe sense, only the noisy entangled states constructed from the Bell states (|\n\\Phi ^{\\pm}\u003e) can \\emph{}be made better sometimes by subjecting the unaffected\nqubit to a dissipative interaction with the environment. Importantly if the\nnoisy state is non teleporting then it can always be made teleporting with this\nprescription. We derive the most general restrictions on improvement of such\nnoisy states assuming that the damping parameters being different for both the\nqubits. However this curious prescription does not work for the noisy entangled\nstates generated from (| \\Psi ^{\\pm}\u003e =\\frac{1}{\\sqrt{2}}(| 01\u003e \\pm | 10\u003e)).\nThis shows that an apriori knowledge of the noisy channel might be helpful to\ndecide which Bell state needs to be shared between Alice and Bob. \\emph{}",
"arxiv_id": "quant-ph/0003120",
"authors": [
"Somshubhro Bandyopadhyay"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.022302",
"journal_ref": "Phys. Rev. A 65, 022302 (2002)",
"title": "On the origin of noisy states whose teleportation fidelity can be enhanced through dissipation",
"url": "https://arxiv.org/abs/quant-ph/0003120"
},
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