Experimental demonstration of a measurement-based realisation of a quantum channel

McCutcheon, Will; McMillan, Alex; Rarity, John; Tame, Mark

doi:10.1088/1367-2630/aa9b5c

Cited by 14 publications

(10 citation statements)

References 81 publications

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“…In the past, several works have studied this nonconvex geometry and introduced interesting examples where the addition of Markovian channels leads to a non-Markovian channel [20][21][22][23][24] and vice versa [25]. However, despite many experiments realising instances of quantum channels [26][27][28][29][30][31][32] and specifically non-Markovian channels [33][34][35][36][37], so far there has been no experimental investigation of the interesting phenomenon that adding Markovian channels can give rise to a non-Markovian channel, or the other way around.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation of Markovian and non-Markovian channel addition

et al. 2020

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The study of memory effects in quantum channels helps in developing characterization methods for open quantum systems and strategies for quantum error correction. Two main sets of channels exist, corresponding to system dynamics with no memory (Markovian) and with memory (non-Markovian). Interestingly, these sets have a non-convex geometry, allowing one to form a channel with memory from the addition of memoryless channels and vice-versa. Here, we experimentally investigate this non-convexity in a photonic setup by subjecting a single qubit to a convex combination of Markovian and non-Markovian channels. We use both divisibility and distinguishability as criteria for the classification of memory effects, with associated measures. Our results highlight some practical considerations that may need to be taken into account when using memory criteria to study system dynamics given by the addition of Markovian and non-Markovian channels in experiments.

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Section: Introductionmentioning

confidence: 99%

Experimental investigation of Markovian and non-Markovian channel addition

et al. 2020

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“…In this work, we overcome the heterogeneity of quantum physical systems, introducing a verification technique that links computational circuits with different sizes and depths and, consequently, can be run on the many types of quantum computers. The building block of our cross-check protocol is represented by measurement-based quantum computation, which was already proven to be essential for quantum computation security [43], quantum error correction [44], and quantum simulation [45]. This technique will prove useful in providing consistent benchmarks across the increasingly diverse range of quantum processors.…”

Section: Discussionmentioning

confidence: 99%

Cross-verification of independent quantum devices

Greganti

Demarie

Ringbauer

et al. 2021

2021 Conference on Lasers and Electro-Optics Europe &Amp; European Quantum Electronics Conference (CLEO/Europe-EQEC)

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Quantum computers are on the brink of surpassing the capabilities of even the most powerful classical computers, which naturally raises the question of how one can trust the results of a quantum computer when they cannot be compared to classical simulation Here, we present a cross-verification technique that exploits the principles of measurement-based quantum computation to link quantum circuits of different input size, depth, and structure. Our technique enables consistency checks of quantum computations between independent devices, as well as within a single device. We showcase our protocol by applying it to five state-of-the-art quantum processors, based on four distinct physical architectures: nuclear magnetic resonance, superconducting circuits, trapped ions, and photonics, with up to six qubits and up to 200 distinct circuits.

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“…Past works, that have studied this non-convex geometry, have provided examples of convex mixtures of Markovian channels leading to a non-Markovian channel and vice versa [12,[21][22][23][24][25]. Experiments to simulate this interesting property of the convex mixing of channels has been done in [16], experiments to simulate non-Markovian and Markovian channels [26][27][28] have also been done in past works. The goal is to simulate the above two cases using a NISQ computer, which requires us to be able to simulate a dynamical map on a quantum computer.…”

Section: Background and Theorymentioning

confidence: 99%

Digital Simulation of Convex Mixtures of Markovian and Non-Markovian Single Qubit Channels on NISQ Devices

David¹,

Sinayskiy²,

Petruccione³

2021

Preprint

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Noisy Intermediate Scale Quantum (NISQ) devices have been proposed as a versatile tool for simulating open quantum systems. Recently, the use of NISQ devices as simulators for non-Markovian open quantum systems has helped verify the current descriptions of non-Markovianity in quantum physics. In this work, convex mixtures of channels are simulated using NISQ devices and classified as either Markovian or non-Markovian using the CP-divisibility criteria. Two cases are considered: two Markovian channels being convexly mixed to form a non-Markovian channel and vice versa. This work replicates the experiments performed in a linear optical setup, using NISQ devices, with the addition of a convex mixture of non-Markovian channels that was designed to address some of the problems faced in the experiments performed in the linear optical setup. The NISQ devices used were provided by the IBM Quantum Experience (IBM QE). The results obtained show that, using NISQ devices and within some error, convex mixtures of Markovian channels lead to a non-Markovian channel and vice versa.

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Experimental demonstration of a measurement-based realisation of a quantum channel

Cited by 14 publications

References 81 publications

Experimental investigation of Markovian and non-Markovian channel addition

Experimental investigation of Markovian and non-Markovian channel addition

Cross-verification of independent quantum devices

Digital Simulation of Convex Mixtures of Markovian and Non-Markovian Single Qubit Channels on NISQ Devices

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