Finite sizes and smooth cutoffs in superconducting circuits

McKay, Emma; Lupaşcu, Adrian; Martín-Martínez, Eduardo

doi:10.1103/physreva.96.052325

Cited by 17 publications

(14 citation statements)

References 38 publications

(74 reference statements)

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“…and analogously D γ1 |α 1 + α 2 ∼ − |α 1 + α 2 + O γ 1 2 , which is what we required in (29). Therefore, the interaction V (1) as defined in (27) fulfills equations (25) and (26) up to error terms of order O γ 1 2 , given that γ 1 fulfills the two requirements (30) and (31).…”

Section: Retrieving the Qubit State From The Fieldmentioning

confidence: 99%

“…In particular the 1+1 dimensional scenarios on which this article focuses may be implementable in cavities or superconducting circuits, for example. These have already been used to demonstrate relativistic effects like the Casimir effect, and recent experiments implemented ultra-strong and fast switchable couplings [24][25][26][27][28].…”

Section: Transmitting a Qubit State Into The Fieldmentioning

confidence: 99%

“…These states differ from the desired outcomes by an additional displacement γ 1 . Now condition (31) ensures that this displacement is small, so that the error in (25) and ( 26) is also small. In fact, by (B5), we have, e.g.,…”

Section: A Bob Sensing the Displacement Of The Fieldmentioning

confidence: 99%

“…On the other hand, and more importantly, the scenario considered here closely resembles the effectively one-dimensional cavities and waveguides that are used for current implementations of quantum information processing using superconducting circuits [24][25][26]. These technologies are entering regimes where the finite speed of propagation of light becomes relevant, and where, consequently, relativistic effects may impede or enable quantum information processing in novel ways.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Transmitting qubits through relativistic fields

Jonsson¹,

Ried²,

Martín-Martínez³

et al. 2018

J. Phys. A: Math. Theor.

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Wireless communication derives its power from the simultaneous emission of signals in multiple directions. However, in the context of quantum communication, this phenomenon must be reconciled carefully with the no-cloning principle. In this context, we here study how wireless communication of quantum information can be realized via relativistic fields. To this end, we extend existing frameworks to allow for a non-perturbative description of, e.g., quantum state transfer. We consider, in particular, the case of 1+1 spacetime dimensions, which already allows a number of interesting scenarios, pointing to, for example, new methods for tasks similar to quantum secret sharing. arXiv:1708.04249v2 [quant-ph]

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Section: Retrieving the Qubit State From The Fieldmentioning

confidence: 99%

Section: Transmitting a Qubit State Into The Fieldmentioning

confidence: 99%

Section: A Bob Sensing the Displacement Of The Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transmitting qubits through relativistic fields

Jonsson¹,

Ried²,

Martín-Martínez³

et al. 2018

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

show abstract

“…This is in tune with various recent proposals for physical setups exploring quantum-mechanical systems as probes for quantum fields. Examples include localized lasers which couple to Bose-Einstein condensates [41] and superconducting circuits coupled to a transmission line [42], both of which turn out to be effectively described by the UDW model. The connection with line defects and Wilson loops also motivates further interest in probing gauge theories via particle detector models.…”

Section: Resultsmentioning

confidence: 99%

A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

Burbano

Perche

Torres

2021

J. High Energ. Phys.

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Particle detectors are an ubiquitous tool for probing quantum fields in the context of relativistic quantum information (RQI). We formulate the Unruh-DeWitt (UDW) particle detector model in terms of the path integral formalism. The formulation is able to recover the results of the model in general globally hyperbolic spacetimes and for arbitrary detector trajectories. Integrating out the detector’s degrees of freedom yields a line defect that allows one to express the transition probability in terms of Feynman diagrams. Inspired by the light-matter interaction, we propose a gauge invariant detector model whose associated line defect is related to the derivative of a Wilson line. This is another instance where nonlocal operators in gauge theories can be interpreted as physical probes for quantum fields.

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Decoding quantum field theory with machine learning

Grimmer

Melgarejo-Lermas

Polo-Gómez

et al. 2023

J. High Energ. Phys.

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We demonstrate how one can use machine learning techniques to bypass the technical difficulties of designing an experiment and translating its outcomes into concrete claims about fundamental features of quantum fields. In practice, all measurements of quantum fields are carried out through local probes. Despite measuring only a small portion of the field, such local measurements have the capacity to reveal many of the field’s global features. This is because, when in equilibrium with their environments, quantum fields store global information locally, albeit in a scrambled way. We show that neural networks can be trained to unscramble this information from data generated from a very simple one-size-fits-all local measurement protocol. To illustrate this general claim we will consider three non-trivial features of the field as case studies: a) how, as long as the field is in a stationary state, a particle detector can learn about the field’s boundary conditions even before signals have time to propagate from the boundary to the detector, b) how detectors can determine the temperature of the quantum field even without thermalizing with it, and c) how detectors can distinguish between Fock states and coherent states even when the first and second moments of all their quadrature operators match. Each of these examples uses the exact same simple fixed local measurement protocol and machine-learning ansatz successfully. This supports the claim that the framework proposed here can be applied to nearly any kind of local measurement on a quantum field to reveal nearly any of the field’s global properties in a one-size-fits-all manner.

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Finite sizes and smooth cutoffs in superconducting circuits

Cited by 17 publications

References 38 publications

Transmitting qubits through relativistic fields

Transmitting qubits through relativistic fields

A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

Decoding quantum field theory with machine learning

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