Hybrid Logical-Physical Qubit Interaction as a Post Selection Oracle

• URL: http://arxiv.org/abs/2306.05027v1
• Date: Thu, 8 Jun 2023 08:25:43 GMT
• Title: Hybrid Logical-Physical Qubit Interaction as a Post Selection Oracle
• Authors: Nadav Carmel, Nadav Katz
• Abstract summary: We demonstrate a property of the quantum 5-qubit stabilizer code that enables the interaction between qubits of different logical layers. We conduct a full density-matrix simulation of an interaction between a logical and a physical qubit.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We demonstrate a property of the quantum 5-qubit stabilizer code that enables the interaction between qubits of different logical layers, and conduct a full density-matrix simulation of an interaction between a logical and a physical qubit. We use the logical qubit as an ancilla and find under which circumstances it gives an advantage over the bare physical ancilla approach, changing the circuit depth and noise level with decoherence processes at play. We use it as a post selection oracle for quantum phase estimation to detect errors propagating from the sensor qubit. Finally, we use our simulation to give noise thresholds both for computation and for sensing a signal using quantum phase estimation that are well within the capabilities of today's hardware.

Related papers

• Quantum Phase Transitions in the Transverse-Field Ising Model: A Comparative Study of Exact, Variational, and Hardware-Based Approaches [0.0]
  This paper will study the ground state properties and quantum critical dynamics of the one-dimensional transverse field Ising model.<n>We focus on a lattice of four spins, where we calculate the ground-state energies, magnetic order parameters and correlation functions.<n>We find that the ground-state energies of shallow variational circuits are reliably captured by the circuit over the entire parameter space.
  arXiv  Detail & Related papers  (2026-01-24T16:26:15Z)
• Cavity Mediated Two-Qubit Gate: Tuning to Optimal Performance with NISQ Era Quantum Simulations [0.019999259391104387]
  We study the case of cavity mediated two-qubit gates.<n>We implement simulations with quantum circuits that are able to reliably track the dynamics of the system.<n>Our quantum algorithm, compatible with NISQ (Noisy Intermediate Scale Quantum) era systems, allows us to map out the fidelity of the state transfer operation between qubits.
  arXiv  Detail & Related papers  (2025-12-12T20:43:42Z)
• Quantum Sensing using Geometrical Phase in Qubit-Oscillator Systems [5.30130021285897]
  We present a quantum sensing protocol for coupled qubit-oscillator systems.<n>It surpasses the standard quantum limit by exploiting a geometrical phase.<n>The protocol shows to qubit Markovian noise and preserves its state-independence.
  arXiv  Detail & Related papers  (2025-11-26T23:48:08Z)
• Field-Based Formalism for Calculating Multi-Qubit Exchange Coupling Rates for Transmon Qubits [0.0]
  Superconducting qubits are one of the most mature platforms for quantum computing. Existing analysis approaches using eigenmode solvers are cumbersome, not robust, and computationally prohibitive if devices with more than a few qubits are to be analyzed. This work begins the development of an alternative framework that we illustrate in the context of evaluating the qubit-qubit exchange coupling rate between transmon qubits.
  arXiv  Detail & Related papers  (2024-06-08T13:31:18Z)
• Syncopated Dynamical Decoupling for Suppressing Crosstalk in Quantum Circuits [12.29963230632145]
  We study the use of dynamical decoupling in characterizing undesired two-qubit couplings and the underlying single-qubit decoherence. We develop a syncopated decoupling technique which protects against decoherence and selectively targets unwanted two-qubit interactions.
  arXiv  Detail & Related papers  (2024-03-12T17:18:35Z)
• Characterizing crosstalk of superconducting transmon processors [0.0]
  We show how to efficiently and systematically characterize the magnitude of crosstalk effects on an entire quantum chip. We propose more accurate means to simulate noisy quantum hardware by devising an appropriate crosstalk-aware noise model.
  arXiv  Detail & Related papers  (2023-03-24T16:11:28Z)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• 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)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Pulse-level noisy quantum circuits with QuTiP [53.356579534933765]
  We introduce new tools in qutip-qip, QuTiP's quantum information processing package. These tools simulate quantum circuits at the pulse level, leveraging QuTiP's quantum dynamics solvers and control optimization features. We show how quantum circuits can be compiled on simulated processors, with control pulses acting on a target Hamiltonian.
  arXiv  Detail & Related papers  (2021-05-20T17:06:52Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Relaxation times do not capture logical qubit dynamics [50.04886706729045]
  We show that spatial noise correlations can give rise to rich and counter-intuitive dynamical behavior of logical qubits. This work will help to guide and benchmark experimental implementations of logical qubits.
  arXiv  Detail & Related papers  (2020-12-14T19:51:19Z)
• Improving performance of logical qubits by parameter tuning and topology compensation [1.8352113484137624]
  We discuss tuning of the transformation for the cases of clique, biclique, and cubic lattice problems on the D-Wave 2000Q quantum computer. Inhomogeneities in effective coupling strength arising from minor-embedding are shown to be mitigated by an efficient reweighting of programmed couplings.
  arXiv  Detail & Related papers  (2020-06-08T20:03:34Z)

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.