Related papers: Switching rates in Kerr resonator with two-photon dissipation and driving

Switching rates in Kerr resonator with two-photon dissipation and driving

URL: http://arxiv.org/abs/2511.13308v1
Date: Mon, 17 Nov 2025 12:40:56 GMT
Title: Switching rates in Kerr resonator with two-photon dissipation and driving
Authors: V. Yu. Mylnikov, S. O. Potashin, M. S. Ukhtary, G. S. Sokolovskii,
Abstract summary: We analytically investigate the switching rate in a two-photon driven Kerr oscillator with finite detuning and two-photon dissipation.<n>Using Kramer's theory together with the $P$-representation, we derive an analytical expression for the bit-flip error rate.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We analytically investigate the switching rate in a two-photon driven Kerr oscillator with finite detuning and two-photon dissipation. This system exhibits quantum bistability and supports a logical manifold for a bosonic qubit. Using Kramer's theory together with the $P$-representation, we derive an analytical expression for the bit-flip error rate within the potential-barrier approximation. The agreement is demonstrated between analytical calculations and numerical simulations obtained by diagonalization of the Liouvillian superoperator. In the purely dissipative limit, the switching rate increases monotonically with detuning, as the two metastable states approach each other in phase space. However, the exponential contribution to the bit-flip rate exhibits a nontrivial dependence on system parameters, extending beyond the naive scaling with the average photon number. In the presence of large Kerr nonlinearity, the switching rate becomes a nonmonotonic function of the detuning and reaches a minimum at a finite detuning. This effect arises because detuning lowers the activation barrier for weak nonlinearity but increases it for large ones, ensuring a minimum of the switching-rate at nonzero detuning. These results establish key conditions for optimizing the performance of critical cat qubits and are directly relevant for the design of scalable superconducting bosonic quantum architectures.

Related papers

Photon blockade effect from synergistic optical parametric amplification and driving force in Kerr-medium single-mode cavity [0.0]
This work investigates photon blockade control in a hybrid quantum system containing a Kerr-nonlinear cavity and an OPA.<n>The influence of Kerr nonlinearity is also examined. Photon blockade remains robust across a wide range of Kerr strengths.
arXiv Detail & Related papers (2026-01-05T06:20:30Z)
Impact of Static Disorder and Dephasing on Quantum Transport in LH1-RC Models [0.0]
We numerically study excitation transfer in an artificial LH1--RC complex driven by a narrowband optical mode.<n>Off resonance, the efficiency shows environmentally assisted transport with a clear non-monotonic dependence on dephasing and a finite optimum.
arXiv Detail & Related papers (2025-09-23T14:23:15Z)
Efficient Two Photon Generation from an Emitter in a Cavity [2.440735807510388]
Two-photon states are essential for quantum technologies such as metrology, lithography, and communication.<n>One of the primary methods of two-photon generation is based on parametric down-conversion, but this suffers from low efficiency and a large footprint.<n>This work presents a detailed theoretical investigation of two-photon generation from an emitter in a doubly resonant cavity.
arXiv Detail & Related papers (2025-04-11T13:23:51Z)
Simulating Quantum Light in Lossy Microring Resonators Driven by Strong Pulses [6.660834045805309]
We present a quantum theory for pulsed photon pair generation in a single ring resonator.<n>Our approach combines the Heisenberg picture input-output formalism with the Ikeda mapping from classical nonlinear optics.
arXiv Detail & Related papers (2024-08-20T12:15:54Z)
Josephson bifurcation readout: beyond the monochromatic approximation [49.1574468325115]
We analyze properties of bifurcation quantum detectors based on weakly nonlinear superconducting resonance circuits. This circuit can serve as an efficient detector of the quantum state of superconducting qubits.
arXiv Detail & Related papers (2024-05-25T22:22:37Z)
Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit [33.7054351451505]
Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss.<n>Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states.<n>Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
arXiv Detail & Related papers (2022-12-22T23:32:21Z)
Amplification of cascaded downconversion by reusing photons with a switchable cavity [62.997667081978825]
We propose a scheme to amplify triplet production rates by using a fast switch and a delay loop. Our proof-of-concept device increases the rate of detected photon triplets as predicted.
arXiv Detail & Related papers (2022-09-23T15:53:44Z)
A critical Schr\"odinger cat qubit [0.0]
In cat qubits, an engineered dissipation scheme combining two-photon drive and loss has been used to stabilize this manifold. In Kerr cat qubits, where highly-performing gates can be engineered, two-photon drive and Kerr nonlinearity cooperate to confine the system. We show that large detunings and small, but non-negligible, two-photon loss rates are fundamental to achieve optimal performance.
arXiv Detail & Related papers (2022-08-09T17:44:00Z)
Superconducting coupler with exponentially large on-off ratio [68.8204255655161]
Tunable two-qubit couplers offer an avenue to mitigate errors in multiqubit superconducting quantum processors. Most couplers operate in a narrow frequency band and target specific couplings, such as the spurious $ZZ$ interaction. We introduce a superconducting coupler that alleviates these limitations by suppressing all two-qubit interactions with an exponentially large on-off ratio.
arXiv Detail & Related papers (2021-07-21T03:03:13Z)
Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
arXiv Detail & Related papers (2021-07-14T15:11:05Z)
Intrinsic mechanisms for drive-dependent Purcell decay in superconducting quantum circuits [68.8204255655161]
We find that in a wide range of settings, the cavity-qubit detuning controls whether a non-zero photonic population increases or decreases qubit decay Purcell. Our method combines insights from a Keldysh treatment of the system, and Lindblad theory.
arXiv Detail & Related papers (2021-06-09T16:21:31Z)
A modified quasi-classical analysis to capture the effects of strong interaction in open QED lattices [1.4767716319267]
We investigate the role of optical nonlinearity in light propagation through two different one-dimensional open QED lattices. We show a reduction of light transmission with increasing intensity in these lattices due to effective photon-photon interactions and related photon blockade mediated by nonlinearity in qubits.
arXiv Detail & Related papers (2020-10-28T12:44:25Z)
Quantum Borrmann effect for dissipation-immune photon-photon correlations [137.6408511310322]
We study theoretically the second-order correlation function $g(2)(t)$ for photons transmitted through a periodic Bragg-spaced array of superconducting qubits, coupled to a waveguide. We demonstrate that photon bunching and anti-bunching persist much longer than both radiative and non-radiative lifetimes of a single qubit.
arXiv Detail & Related papers (2020-09-29T14:37:04Z)

This list is automatically generated from the titles and abstracts of the papers in this site.