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Quantum Channels & Operations Guided Tour

    https://www-m5.ma.tum.de/foswiki/pub/M5/Allgemeines/MichaelWolf/QChannelLecture.pdf
    Quantum Channels & Operations Guided Tour Michael M. Wolf July 5, 2012. 2 These notes are based on a course given at the Niels-Bohr Insti-tute (Copenhagen) in 2008/2009. Most passages are still cryptic, erroneous, incomplete or actually missing. The notes are occasionally updated. Since they containFile Size: 1MB

Quantum Zeno Dynamics from General Quantum Operations ...

    https://quantum-journal.org/papers/q-2020-07-06-289/
    Quantum Zeno Dynamics from General Quantum Operations. Daniel Burgarth 1, Paolo Facchi 2,3, Hiromichi Nakazato 4, Saverio Pascazio 2,3, and Kazuya Yuasa 4. 1 Center for Engineered Quantum Systems, Dept. of Physics & Astronomy, Macquarie University, 2109 NSW, Australia 2 Dipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari, Italy 3 INFN, Sezione di Bari, I-70126 Bari, ItalyCited by: 4

On Quantum Channels. - arXiv

    https://arxiv.org/pdf/quant-ph/0202124.pdf
    The most general evolution of a quantum system is described by a linear CP-map [3]. In this section we will give a self-contained description of CP-maps or quantum channels. Most of the mathematics presented originate from the seminal papers of de Pillis [6] and Choi [4]. The fact that the evolution of quantum systems is described by linear

Asymptotics of quantum channels: conserved quantities, an ...

    https://quantum-journal.org/papers/q-2019-06-06-151/
    Michael M. Wolf. Quantum Channels & Operations Guided Tour, 2010. URL http:/ / www-m5.ma.tum.de/ foswiki/ pub/ M5/ Allgemeines/ MichaelWolf/ QChannelLecture.pdf. http:/ / www-m5.ma.tum.de/ foswiki/ pub/ M5/ Allgemeines/ MichaelWolf/ QChannelLecture.pdf Robin Blume-Kohout, Hui Khoon Ng, David Poulin, and Lorenza Viola. Information-preserving ...Cited by: 4

Quantum Operation - an overview ScienceDirect Topics

    https://www.sciencedirect.com/topics/computer-science/quantum-operation
    Quantum operations have been widely used in quantum information theory as a mathematical model of communication channels. In this book, quantum operations are adopted as the main mathematical tool for defining semantics of quantum programs, because a quantum program may contain not only unitary transformations but also quantum measurements in ...

Quantum channel - Wikipedia

    https://en.wikipedia.org/wiki/Quantum_channel
    In quantum information theory, a quantum channel is a communication channel which can transmit quantum information, as well as classical information.An example of quantum information is the state of a qubit.An example of classical information is a text document transmitted over the Internet.. More formally, quantum channels are completely positive (CP) trace-preserving maps between spaces of ...

Quantum operation - Wikipedia

    https://en.wikipedia.org/wiki/Quantum_operation
    In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo.This was first discussed as a general stochastic transformation for a density matrix by George Sudarshan. The quantum operation formalism describes not only unitary …

On Limiting Distributions of Quantum Markov Chains

    https://www.hindawi.com/journals/ijmms/2011/740816/
    In a quantum Markov chain, the temporal succession of states is modeled by the repeated action of a “bistochastic quantum operation” on the density matrix of a quantum system. Based on this conceptual framework, we derive some new results concerning the evolution of a quantum system, including its long-term behavior. Among our findings is the fact that the Cesàro limit of any quantum ...

Quantum Channel Construction with Circuit Quantum ...

    https://arxiv.org/pdf/1611.03463
    B. Quantum Channels with Higher Kraus Rank To implement a CPTP map with Kraus rank N, we need a quantum circuit with L = dlog 2 Nerounds of operations. Each round consists of (1) initialization of theancillaqubit, (2)jointunitarygateoverthesystem and ancilla (conditional on the measurement outcomes from previous rounds), (3) QND readout of the ...

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