Distinguishing between Quantum and Classical Markovian Dephasing Dissipation

Seif, Alireza; Wang, Yu-Xin; Clerk, Aashish A.

doi:10.1103/physrevlett.128.070402

Cited by 16 publications

(6 citation statements)

References 39 publications

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“…We focus on classical noise here because it captures the essential physics of correlated dephasing noise. One may consider, e.g., a model of quantum dephasing noise which has an asymmetric noise spectral density; however, dephasing noise depends only on the symmetrized spectral density ( S [ ω ] + S [ − ω ])/2 and the quantum effects appear only as additional correlated dissipation 36 . Further work is needed to treat the effects of quantum noise.…”

Section: Resultsmentioning

confidence: 99%

Surpassing spectator qubits with photonic modes and continuous measurement for Heisenberg-limited noise mitigation

Lingenfelter,

Clerk

2023

npj Quantum Inf

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Noise is an ever-present challenge to the creation and preservation of fragile quantum states. Recent work suggests that spatial noise correlations can be harnessed as a resource for noise mitigation via the use of spectator qubits to measure environmental noise. In this work we generalize this concept from spectator qubits to a spectator mode: a photonic mode which continuously measures spatially correlated classical dephasing noise and applies a continuous correction drive to frequency-tunable data qubits. Our analysis shows that by using many photon states, spectator modes can surpass many of the quantum measurement constraints that limit spectator qubit approaches. We also find that long-time data qubit dephasing can be arbitrarily suppressed, even for white noise dephasing. Further, using a squeezing (parametric) drive, the error in the spectator mode approach can exhibit Heisenberg-limited scaling in the number of photons used. We also show that spectator mode noise mitigation can be implemented completely autonomously using engineered dissipation. In this case no explicit measurement or processing of a classical measurement record is needed. Our work establishes spectator modes as a potentially powerful alternative to spectator qubits for noise mitigation.

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Section: Resultsmentioning

confidence: 99%

Surpassing spectator qubits with photonic modes and continuous measurement for Heisenberg-limited noise mitigation

Lingenfelter,

Clerk

2023

npj Quantum Inf

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“…Finally, as a natural continuation of this line of research, quantifying nonclassicality in spin–boson models and their generalizations, thus going forward the mere characterization of processes that happen to be classical, would be of paramount importance. In particular, the classicality of both Markovian and non-Markovian dephasing processes deserves the thorough analysis (the classicality of particular models of such processes were recently analyzed in 59 – 63 ).…”

Section: Discussionmentioning

confidence: 99%

On Markovianity and classicality in multilevel spin–boson models

Chruściński

Hesabi

Lonigro

2023

Sci Rep

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We provide a detailed discussion about the unitary and reduced evolution induced by family of Hamiltonian models describing a multilevel system, with a ground state and a possibly multilevel excited sector, coupled to a multimode boson field via a rotating-wave interaction. We prove explicitly that the system, in the limit in which the coupling is flat with respect to the boson frequencies, is Markovian under sharp measurements in arbitrary bases; we also find necessary and sufficient conditions under which the process is classical, i.e. its family of multitime joint probability distributions satisfies the Kolmogorov consistency condition, and may thus be equivalently obtained by a classical stochastic process.

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“…Note that the connections between correlated dissipative processes and entanglement generation was recently studied in Ref. [26], in the context of correlated Markovian dephasing in a many qubit system.…”

Section: Entanglement Generation Via Non-reciprocal Interactionsmentioning

confidence: 99%

Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes

Clerk

2022

SciPost Phys. Lect. Notes

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These lecture notes from the 2019 Les Houches Summer School on Quantum Information Machines provides a pedagogical introduction to the theory of non-reciprocal quantum interactions and devices. The goal is connect various approaches and concepts, including Hamiltonians encoding synthetic gauge fields, scattering descriptions, quantum master equations, and non-Hermitian Hamiltonians. The importance of having both non-trivial synthetic gauge fields and dissipation for obtaining non-reciprocal interactions is stressed. Connections to broader topics such as quantum reservoir engineering and the quantum theory of continuous-measurement based feedforward are also discussed.

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Distinguishing between Quantum and Classical Markovian Dephasing Dissipation

Cited by 16 publications

References 39 publications

Surpassing spectator qubits with photonic modes and continuous measurement for Heisenberg-limited noise mitigation

Surpassing spectator qubits with photonic modes and continuous measurement for Heisenberg-limited noise mitigation

On Markovianity and classicality in multilevel spin–boson models

Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes

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