Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model

• URL: http://arxiv.org/abs/2402.00379v2
• Date: Sun, 21 Jul 2024 12:28:31 GMT
• Title: Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model
• Authors: Ye-Hong Chen, Zhi-Cheng Shi, Franco Nori, Yan Xia,
• Abstract summary: Cat-state qubits formed by photonic cat states have a biased noise channel, i.e., one type of error dominates over all the others. We demonstrate that such biased-noise qubits are also promising for error-tolerant simulations of the quantum Rabi model (and its varieties) by coupling a cat-state qubit to an optical cavity.
• Score: 3.1716226579025255
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Cat-state qubits formed by photonic cat states have a biased noise channel, i.e., one type of error dominates over all the others. We demonstrate that such biased-noise qubits are also promising for error-tolerant simulations of the quantum Rabi model (and its varieties) by coupling a cat-state qubit to an optical cavity. Using the cat-state qubit can effectively enhance the counter-rotating coupling, allowing us to explore several fascinating quantum phenomena relying on the counter-rotating interaction. Moreover, another benefit from biased-noise cat qubits is that the two main error channels (frequency and amplitude mismatches) are both exponentially suppressed. Therefore, the simulation protocols are robust against parameter errors of the parametric drive which determines the projection subspace. We analyze three examples: (i) collapse and revivals of quantum states; (ii) hidden symmetry and tunneling dynamics; and (iii) pair-cat-code computation.

Related papers

• Preparation of high fidelity entangled cat states with composite pulses [17.64941769616527]
  We propose a protocol for the preparation of high-fidelity entangled cat states with composite pulses. By properly designing the parameters, each Kerr-nonlinear resonator is confined in the cat-state subspace. We introduce composite two-photon drives with multiple amplitudes and to improve the fidelity of the entangled cat states.
  arXiv  Detail & Related papers  (2024-08-01T11:17:35Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations [55.41644538483948]
  We study strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation. We find that the gate complexity using second order Trotter- Suzuki formulae scales better with system size than with other decomposition methods such as Quantum Signal Processing.
  arXiv  Detail & Related papers  (2022-07-07T09:39:40Z)
• Combined Dissipative and Hamiltonian Confinement of Cat Qubits [0.0]
  Cat qubits feature an exponential error bias inherited from their non-local encoding in the phase space of a quantum harmonic oscillator. We introduce a new combined dissipative and Hamiltonian confinement scheme based on two-photon dissipation together with a Two-Photon Exchange (TPE) Hamiltonian. We demonstrate fast and bias-preserving gates with drastically improved performance compared to dissipative or Hamiltonian schemes.
  arXiv  Detail & Related papers  (2021-12-10T13:55:28Z)
• Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering [11.23392332277676]
  We propose a protocol to realize nonadiabatic geometric quantum computation of small-amplitude Schr"odinger cat qubits. We consider a system with a two-photon driven Kerr nonlinearity, which provides a pair of dressed even and odd coherent states.
  arXiv  Detail & Related papers  (2021-10-05T10:52:10Z)
• Fault-tolerant multiqubit geometric entangling gates using photonic cat-state qubits [0.8024702830680637]
  We propose a theoretical protocol to implement multiqubit geometric gates using photonic cat-state qubits. These cat-state qubits are promising for hardware-efficient universal quantum computing.
  arXiv  Detail & Related papers  (2021-09-10T03:04:32Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Generating and detecting entangled cat states in dissipatively coupled degenerate optical parametric oscillators [1.238954119278917]
  "Cat states" embody quantum coherence in an accessible way and can be harnessed for fundamental tests and quantum information tasks alike. We show that a dissipative coupling between degenerate optical parametric oscillators extends this to two-mode entangled cat states. We numerically explore the parameter regime for the successful generation of transient two-mode entangled cat states.
  arXiv  Detail & Related papers  (2021-03-30T05:46:44Z)
• Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions [62.997667081978825]
  We present a study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. This type of errors affects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level.
  arXiv  Detail & Related papers  (2020-12-21T14:20:40Z)
• Transmon platform for quantum computing challenged by chaotic fluctuations [55.41644538483948]
  We investigate the stability of a variant of a many-body localized (MBL) phase for system parameters relevant to current quantum processors. We find that these computing platforms are dangerously close to a phase of uncontrollable chaotic fluctuations.
  arXiv  Detail & Related papers  (2020-12-10T19:00:03Z)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)

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

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.