Simulation of indivisible qubit channels in collision models

Rybár, Tomáš; Filippov, S.; Ziman, Märio; Bužek, Vladimír

doi:10.1088/0953-4075/45/15/154006

Cited by 106 publications

(145 citation statements)

References 26 publications

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“…Thereby, the resulting dynamical map will not be CP-divisible. It is signi cant in this respect that CMs with initial correlated bath states can be constructed whose corresponding dynamical map for S reproduces indivisible quantum channels [18,24].…”

Section: Initially Correlated Ancillasmentioning

confidence: 99%

Collision models in quantum optics

Ciccarello¹

2017

Quantum Measurements and Quantum Metrology

115

118

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Quantum collision models (CMs) provide advantageous case studies for investigating major issues in open quantum systems theory, and especially quantum non-Markovianity. After reviewing their general de nition and distinctive features, we illustrate the emergence of a CM in a familiar quantum optics scenario. This task is carried out by highlighting the close connection between the well-known input-output formalism and CMs. Within this quantum optics framework, usual assumptions in the CMs' literature -such as considering a bath of noninteracting yet initially correlated ancillas -have a clear physical origin.

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Section: Initially Correlated Ancillasmentioning

confidence: 99%

Collision models in quantum optics

Ciccarello¹

2017

Quantum Measurements and Quantum Metrology

115

118

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“…Nonetheless, there are still important non-Markovian aspects in the intra-cycle dynamics. The full Markovian dynamics is obtained in the weak collision limit [73][74][75][76][77], where in each thermal stroke, the engine interacts weakly with many particles of the heat exchanger.…”

Section: The Coupling Of the Engine To The Heat Exchangers And To Thementioning

confidence: 99%

Quantum Heat Machines Equivalence, Work Extraction beyond Markovianity, and Strong Coupling via Heat Exchangers

Uzdin

Levy

Kosloff

2016

Entropy

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Various engine types are thermodynamically equivalent in the quantum limit of small "engine action". Our previous derivation of the equivalence is restricted to Markovian heat baths and to implicit classical work repository (e.g., laser light in the semi-classical approximation). In this paper, all the components, baths, batteries, and engines, are explicitly taken into account. To neatly treat non-Markovian dynamics, we use mediating particles that function as a heat exchanger. We find that, on top of the previously observed equivalence, there is a higher degree of equivalence that cannot be achieved in the Markovian regime. Next, we focus on the quality of the battery charging process. A condition for positive energy increase and zero entropy increase (work) is given. Moreover, it is shown that, in the strong coupling regime, it is possible to super-charge a battery. With super-charging, the energy of the battery is increased while its entropy is being reduced at the same time.

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“…In particular, they demonstrate that for the single qubit case universal simulation of Markovian dynamics requires only the ability to simulate a specific continuous one parameter family of generators, as well as the ability to implement the recombination methods of linear combination and unitary conjugation. The development of collision models [21,22] for understanding quantum decoherence processes also suggests a constructive approach for the simulation of open quantum systems, and combining these insights with the results of Bacon et al allowed for the development of collision model based methods for the simulation of singlequbit unital semigroups [23], generalised phase-damping processes [24] and indivisible qubit channels [25].…”

Section: Introductionmentioning

confidence: 99%

Simulation of single-qubit open quantum systems

2014

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A quantum algorithm is presented for the simulation of arbitrary Markovian dynamics of a qubit, described by a semigroup of single qubit quantum channels {Tt} specified by a generator L. This algorithm requires only O (||L|| (1→1) t) 3/2 / 1/2 single qubit and CNOT gates and approximates the channel Tt = e tL up to chosen accuracy . Inspired by developments in Hamiltonian simulation, a decomposition and recombination technique is utilised which allows for the exploitation of recently developed methods for the approximation of arbitrary single-qubit channels. In particular, as a result of these methods the algorithm requires only a single ancilla qubit, the minimal possible dilation for a non-unitary single-qubit quantum channel.

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Simulation of indivisible qubit channels in collision models

Cited by 106 publications

References 26 publications

Collision models in quantum optics

Collision models in quantum optics

Quantum Heat Machines Equivalence, Work Extraction beyond Markovianity, and Strong Coupling via Heat Exchangers

Simulation of single-qubit open quantum systems

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