Critical parametric quantum sensing

Di Candia, R.; Minganti, F.; Petrovnin, K. V.; Paraoanu, G. S.; Felicetti, S.

doi:10.48550/arxiv.2107.04503

Cited by 15 publications

(22 citation statements)

References 63 publications

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“…In these systems, we have only a finite numbers of components interacting; the usual thermody-namic limit is then replaced by a scaling of the system parameters [31][32][33][34][35]. A variety of protocols based on finitecomponent QPTs have been proposed considering lightmatter interaction models [36][37][38][39][40][41] and quantum nonlinear resonators [42]. A critical quantum sensor can then be realized using small-scale atomic or solid-state devices, circumventing the complexity of implementing and controlling manybody quantum systems.…”

Section: Introductionmentioning

confidence: 99%

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Garbe,

Abah,

Felicetti

et al. 2021

Preprint

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Section: Introductionmentioning

confidence: 99%

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Garbe,

Abah,

Felicetti

et al. 2021

Preprint

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“…One of its key aspects will be the reliable and robust preparation of quantum states. Especially, high-fidelity preparation of critical ground states-ground states close to a critical point of a quantum phase transition [1]-has been identified as a key ingredient in many quantum technologies such as quantum metrology [2][3][4][5][6] and quantum heat engines [7,8]. The reason behind the universality of these states is mainly the high level of nonclassical correlations.…”

Section: Introductionmentioning

confidence: 99%

Squeezing by Critical Speeding-up: Applications in Quantum Metrology

Gietka

2021

Preprint

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We present an alternative protocol allowing for the preparation of critical states that instead of suffering from the critical slowing-down benefits from the critical speeding-up. Paradoxically, we prepare these states by going away from the critical point which allows for the speedup. We apply the protocol to the paradigmatic quantum Rabi model and its classical oscillator limit as well as the Lipkin-Meshkov-Glick model. Subsequently, we discuss the application of the adiabatic speed-up protocol in quantum metrology and compare its performance with critical quantum metrology. We show that critical quantum metrology with the Lipkin-Meshkov-Glick model cannot even overcome the standard quantum limit, and we argue that, in general, critical metrology is a suboptimal metrological strategy. Finally, we conclude that systems exhibiting a phase transition are indeed interesting from the viewpoint of quantum technologies, however, it may not be the critical point that should attract the most attention.

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“…The high-degree of controllability of photonic platforms, such as superconducting circuits [1][2][3][4][5], Rydberg atoms [6,7], and optomechanical resonators [8][9][10][11], makes them ideal candidates for the realization of quantum simulators and quantum computers [12][13][14]. This fostered intense experimental research on the control of the quantum properties of these systems, ranging from the creation of (ultra)strong photonmatter interaction [15,16] to the engineering of the environment to generate properties unachievable in closed systems [17][18][19]. Simultaneously, much theoretical effort was dedicated to the determination of an open system's properties.…”

Section: Introductionmentioning

confidence: 99%

“…The determination of the Liouvillian spectrum plays a fundamental role for dissipative critical phenomena-such as (boundary) time crystals [60][61][62], dissipative phase transitions [20,23], and more exotic effects emerging such as dissipative freezing [63] and synchronization [64]-where the nontrivial role of the Liouvillian long-lived metastable states allows to correctly determine the scaling towards the thermodynamic limit. These systems are candidate for quantum information and metrology, with perspectives for quantum technologies [19,[65][66][67]. As such, a correct determination of the effect of errors and their possible corrections is a focal problem also in quantum information and quantum error correction [68,69].…”

Section: Introductionmentioning

confidence: 99%

Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems

Minganti,

Huybrechts

2021

Preprint

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The characterization of open quantum systems is a central and recurring problem for the development of quantum technologies. For time-independent systems, an (often unique) steady state describes the average physics once all the transient processes have faded out, but interesting quantum properties can emerge at intermediate timescales. Given a Lindblad master equation, these properties are encoded in the spectrum of the Liouvillian whose diagonalization, however, is a challenge even for small-size quantum systems. Here, we propose a new method to efficiently provide the Liouvillian spectral decomposition. We call this method an Arnoldi-Lindblad time evolution, because it exploits the algebraic properties of the Liouvillian superoperator to efficiently construct a basis for the Arnoldi iteration problem. The advantage of our method is double: (i) It provides a faster-than-the-clock method to efficiently obtain the steady state, meaning that it produces the steady state through time evolution shorter than needed for the system to reach stationarity. (ii) It retrieves the low-lying spectral properties of the Liouvillian with a minimal overhead, allowing to determine both which quantum properties emerge and for how long they can be observed in a system. This method is general and model-independent, and lends itself to the study of large systems where the determination of the Liouvillian spectrum can be numerically demanding. Our results can be extended to time evolution with a time-dependent Liouvillian. In particular, our method works for Floquet (i.e., periodically driven) systems, where it allows not only to construct the Floquet map for the slow-decaying processes, but also to retrieve the stroboscopic steady state and the eigenspectrum of the Floquet map.

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Critical parametric quantum sensing

Cited by 15 publications

References 63 publications

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling

Squeezing by Critical Speeding-up: Applications in Quantum Metrology

Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems

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