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Computing Quantum Channel Capacities [PDF]

open access: yesIEEE Transactions on Information Theory, 2021
v4: 22 pages, 4 figures, new ...
Navneeth Ramakrishnan   +3 more
openaire   +6 more sources

Unitary circuits of finite depth and infinite width from quantum channels [PDF]

open access: yesPhysical review B, 2019
We introduce an approach to compute reduced density matrices for local quantum unitary circuits of finite depth and infinite width. Suppose the time-evolved state under the circuit is a matrix-product state with bond dimension $D$; then the reduced ...
S. Gopalakrishnan, A. Lamacraft
semanticscholar   +1 more source

Quantum circuits for quantum channels [PDF]

open access: yesPhysical Review A, 2017
We study the implementation of quantum channels with quantum computers while minimizing the experimental cost, measured in terms of the number of Controlled-NOT (C-NOT) gates required (single-qubit gates are free). We consider three different models. In the first, the Quantum Circuit Model (QCM), we consider sequences of single-qubit and C-NOT gates ...
Iten, Raban   +2 more
openaire   +4 more sources

Quantumness of quantum channels [PDF]

open access: yesPhysical Review A, 2018
Quantum coherence is a fundamental aspect of quantum physics and plays a central role in quantum information science. This essential property of the quantum states could be fragile under the influence of the quantum operations. The extent to which quantum coherence is diminished depends both on the channel and the incoherent basis.
Shahbeigi, Fereshte   +1 more
openaire   +2 more sources

Quantum capacity analysis of multi-level amplitude damping channels

open access: yesCommunications Physics, 2021
Estimating the capacity of quantum channels is relevant to understand at which rate quantum information can be exchanged. Here, the authors introduce multi-level amplitude damping channels that generalize the qubit amplitude damping noise model, analyse ...
Stefano Chessa, Vittorio Giovannetti
doaj   +1 more source

Operational applications of the diamond norm and related measures in quantifying the non-physicality of quantum maps [PDF]

open access: yesQuantum, 2021
Although quantum channels underlie the dynamics of quantum states, maps which are not physical channels — that is, not completely positive — can often be encountered in settings such as entanglement detection, non-Markovian quantum dynamics, or error ...
Bartosz Regula, Ryuji Takagi, Mile Gu
doaj   +1 more source

Experimental quantum communication enhancement by superposing trajectories

open access: yesPhysical Review Research, 2021
In quantum communication networks, wires represent well-defined trajectories along which quantum systems are transmitted. In spite of this, trajectories can be used as a quantum control to govern the order of different noisy communication channels, and ...
Giulia Rubino   +10 more
doaj   +1 more source

Infinite-Dimensional Programmable Quantum Processors

open access: yesPRX Quantum, 2021
A universal programmable quantum processor uses “program” quantum states to apply an arbitrary quantum channel to an input state. We generalize the concept of a finite-dimensional programmable quantum processor to infinite dimension assuming an energy ...
Martina Gschwendtner, Andreas Winter
doaj   +1 more source

Performance of polar codes for quantum and private classical communication [PDF]

open access: yes, 2012
We analyze the practical performance of quantum polar codes, by computing rigorous bounds on block error probability and by numerically simulating them.
Dutton, Zachary   +2 more
core   +3 more sources

Contraction of Private Quantum Channels and Private Quantum Hypothesis Testing [PDF]

open access: yesIEEE Transactions on Information Theory
A quantum generalized divergence by definition satisfies the data-processing inequality; as such, the relative decrease in such a divergence under the action of a quantum channel is at most one. This relative decrease is formally known as the contraction
Theshani Nuradha, Mark M. Wilde
semanticscholar   +1 more source

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