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Estimation of quantum channels with finite resources
[article]
2001
arXiv
pre-print
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It is assumed that the users of the channel have at best only partial knowledge of it and make use of a finite amount of resources to estimate it. ...
It turns out that the use of entangled particles as a new kind of nonclassical resource enhances the estimation quality of some classes of quantum channel. ...
ACKNOWLEDGMENTS We acknowledge support by the DFG programme "Quanten-Informationsverarbeitung", by the European Science Foundation QIT programme and by the programmes "QUBITS" and "QUEST" of the European ...
arXiv:quant-ph/0108037v1
fatcat:lef3envckngq7fqkf57jrayh5u
Transfer of quantum states using finite resources
2001
Physical Review A. Atomic, Molecular, and Optical Physics
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We discuss the problem of transfering a qubit from Alice to Bob using a noisy quantum channel and only finite resources. As the basic protocol for the transfer we apply quantum teleportation. ...
It turns out that for a certain quality of the channel direct teleportation combined with qubit purification is superior to entanglement purification of the channel. ...
ACKNOWLEDGMENTS We acknowledge support by the DFG programme "Quanten-Informationsverarbeitung", by the European Science Foundation QIT programme and by the programmes "QUBITS" and "QUEST" of the European ...
doi:10.1103/physreva.63.042305
fatcat:ydu4frdmjbbhhk63rqsimopo7u
Channel Simulation in Quantum Metrology
[article]
2018
arXiv
pre-print
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In this review we discuss how channel simulation can be used to simplify the most general protocols of quantum parameter estimation, where unlimited entanglement and adaptive joint operations may be employed ...
For these channels, we may express the quantum Cram\'er Rao bound directly in terms of their Choi matrices. ...
This work has been supported by the Innovation Fund Denmark (Qubiz project), the European Union (MSCA-IF-2016), and the EPSRC via the 'UK Quantum Communications Hub' (EP/M013472/1). S. P. thanks R. ...
arXiv:1712.06603v2
fatcat:cjkwh7h5tzd67p2zv7uo4jhely
Enhanced estimation of a noisy quantum channel using entanglement
2001
Physical Review A. Atomic, Molecular, and Optical Physics
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We discuss the estimation of channel parameters for a noisy quantum channel - the so-called Pauli channel - using finite resources. ...
It turns out that prior entanglement considerably enhances the fidelity of the estimation when we compare it to an estimation scheme based on separable quantum states. ...
ACKNOWLEDGMENTS We acknowledge discussions with G. Alber, A. Delgado, and M. ...
doi:10.1103/physreva.64.022309
fatcat:iw5rbmgx45dvhfmrrhrjc4vrw4
Quantum Cryptography with Finite Resources: Unconditional Security Bound for Discrete-Variable Protocols with One-Way Postprocessing
2008
Physical Review Letters
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We derive a bound for the security of QKD with finite resources under one-way post-processing, based on a definition of security that is composable and has an operational meaning. ...
For any other discrete-variable protocol, unconditional security can be obtained using the exponential de Finetti theorem, but the additional overhead leads to very pessimistic estimates. ...
In this Letter, we provide a security bound for discrete-variable QKD protocols with finite resources and with respect to a composable security definition, based on the formalism developed by one of us ...
doi:10.1103/physrevlett.100.200501
pmid:18518517
fatcat:y5ea3mm7l5agbcv2s7ep3fjkhq
Nonthermal Quantum Channels as a Thermodynamical Resource
2015
Physical Review Letters
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We find that, in the limit of asymptotically many uses of each channel, the distillable work is an additive function of the considered channels, computable for both finite dimensional quantum operations ...
Quantum thermodynamics can be understood as a resource theory, whereby thermal states are free and the only allowed operations are unitary transformations commuting with the total Hamiltonian of the system ...
Hence, states with finite energy correspond to states with finite first and second moments. ...
doi:10.1103/physrevlett.115.010405
pmid:26182086
fatcat:4yaqodxugvgrvbc52tmaodhxpy
Finite-error metrological bounds on multiparameter Hamiltonian estimation
2018
Physical Review A
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2017 pre-print arXiv:1708.09556v1 fatcat:c7jwxo3pybdjvplutwdeh2u2qiOther Versions
By comparing the cases with different numbers of Hamiltonian channels, we also find that the few-channel procedure with adaptive feedback and the many-channel procedure with entanglement are equivalent ...
in that they require the same amount of time resource up to a constant factor. ...
In particular, we find that the time resource scales with δ −1 , which explicitly shows the quantum-metrological limit. ...
doi:10.1103/physreva.97.012101
fatcat:bp7cklflpjgclgxrnrrcem4wdi
Finite-resource teleportation stretching for continuous-variable systems
[article]
2018
arXiv
accepted
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We show how adaptive protocols of quantum and private communication through bosonic Gaussian channels can be simplified into much easier block versions that involve resource states with finite energy. ...
Commun. 8, 15043 (2017)], based on teleportation stretching and relative entropy of entanglement, with an alternative simulation of Gaussian channels recently introduced by Liuzzo-Scorpo et al. ...
Mari for discussions on the relations between the various bounds, and the finite-resource simulation of the pure-loss channel. The authors also thank C. Lupo, G. Spedalieri, C. Ottaviani, S. ...
arXiv:1706.06065v3
fatcat:oilmsgkv35h5vhbqxykbv43qci
Quantum key distribution with finite resources: Taking advantage of quantum noise
2013
Physical Review A. Atomic, Molecular, and Optical Physics
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2011 pre-print arXiv:1112.5542v1 fatcat:dximd6u67fcbhbicp6p3u4hqju
We study the situation where quantum noise is added deliberately, and investigate the remarkable benefit for the finite key rate. ...
We compare the effect of different noise scenarios on the achievable rate of an epsilon-secure key for the BB84 and the six-state protocol. ...
The purpose of this article is to investigate the effect of quantum noise on secret key rates with finite resources for the BB84 [23] and six-state protocol [21, 22] . ...
doi:10.1103/physreva.87.042312
fatcat:k4mk7mxe3rezng336pcingngo4
Selective Efficient Quantum Process Tomography
[article]
2008
arXiv
pre-print
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We present a new method for quantum process tomography. The method enables us to efficiently estimate, with fixed precision, any of the parameters characterizing a quantum channel. ...
Also, we show how to efficiently estimate all the average survival probabilities associated with the channel (i.e., all the diagonal elements of its χ--matrix. ...
Direct Characterization of Quantum Dynamics (DCQD) was recently proposed [3, 4] and it requires an extra ancillary system of n clean qubits with a clean quantum channel. ...
arXiv:0801.0758v1
fatcat:57qzxyx4cngxfnaqng5lgzqhya
Unified quantum convolutional coding
2008
2008 IEEE International Symposium on Information Theory
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2008 pre-print arXiv:0801.0821v1 fatcat:kpnjlgowczdcjhluw3x3vt6l6mOther Versions
The use of these diverse resources gives our technique the benefits of both active and passive quantum error correction. ...
Our goal is to provide a framework for designing codes that approach the "grandfather" capacity of an entanglement-assisted quantum channel for sending classical and quantum information simultaneously. ...
One useful line of investigation may be to combine this theory with the recent quantum turbo-coding theory [21] . ...
doi:10.1109/isit.2008.4595008
dblp:conf/isit/WildeB08
fatcat:jmfuwffxojbatcyrwkk4cine3a
Coherence and quantum correlations measure sensitivity to dephasing channels
[article]
2018
arXiv
pre-print
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That is, coherence is the ability to estimate a dephasing channel, quantified by the quantum Fisher information. ...
We introduce measures of quantum coherence as the speed of evolution of a system under decoherence. ...
Namely, both are valuable resources for estimating the strength of a dephasing channel, a metrology primitive which plays a key role in the characterisation of quantum dynamics [13, 14] , quantum device ...
arXiv:1810.02795v1
fatcat:zcuou6iaerfsraxk3mpbbfjzsu
Repeatable quantum memory channels
2008
Physical Review A. Atomic, Molecular, and Optical Physics
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2008 pre-print arXiv:0808.3851v1 fatcat:3kikmhwihbdnpnc6cbg6arzfnm
Within the framework of quantum memory channels we introduce the notion of repeatability of quantum channels. ...
In particular, a quantum channel is called repeatable if there exist a memory device implementing the same channel on each individual input. ...
TR acknowledges the support of the project APVV LPP-0264-07. ...
doi:10.1103/physreva.78.052114
fatcat:x6clpanznfa3jg74omoqynl7ka
Selective and efficient quantum process tomography with single photons
[article]
2010
arXiv
pre-print
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Lett 100, 190403 (2008)) enables the estimation of any element of the chi-matrix that characterizes a quantum process using resources that scale polynomially with the number of qubits. ...
It is based on the idea of mapping the estimation of any chi-matrix element onto the average fidelity of a quantum channel and estimating the latter by sampling randomly over a special set of states called ...
Lett 100, 190403 (2008) ) enables the estimation of any element of the chi-matrix that characterizes a quantum process using resources that scale polynomially with the number of qubits. ...
arXiv:1002.4436v1
fatcat:pjuemvwy4jffre2anvssc7cooq
Finite resource performance of small satellite-based quantum key distribution missions
[article]
2022
arXiv
pre-print
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, improving on estimates based on older finite key bounds. ...
High channel loss may decrease the signal-to-noise ratio due to background noise, reduce the number of generated raw key bits, and increase the quantum bit error rate (QBER), all of which have detrimental ...
Quantum channel configuration for three different SatQKD missions. ...
arXiv:2204.12509v1
fatcat:h62iumubgrhovager4dtcaksxm
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