Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit

• URL: http://arxiv.org/abs/2002.07718v1
• Date: Tue, 18 Feb 2020 16:45:09 GMT
• Title: Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit
• Authors: Martin Rymarz, Stefano Bosco, Alessandro Ciani, David P. DiVincenzo
• Abstract summary: We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of the Gottesman-Kitaev-Preskill (GKP) code. We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction.
• Score: 62.997667081978825
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of the Gottesman-Kitaev-Preskill (GKP) code. We determine the low-energy dynamics of the circuit by working out the equivalence of this system to the problem of a single electron confined in a two-dimensional plane and under the effect of strong magnetic field and of a periodic potential. We find that the circuit is naturally protected against the common noise channels in superconducting circuits, such as charge and flux noise, implying that it can be used for passive quantum error correction. We also propose realistic design parameters for an experimental realization and we describe possible protocols to perform logical one- and two-qubit gates, state preparation and readout.

Related papers

• Quantum Error Mitigation via Linear-Depth Verifier Circuits [0.044998333629984864]
  We provide a method for constructing verifier circuits for any quantum circuit that is accurately represented by a low-dimensional matrix product operator (MPO) By transpiling the circuits to a 2D array of qubits, we estimate the crossover point where the verifier circuit is shallower than the circuit itself, and hence useful for quantum error mitigation (QEM) We conclude that our approach may be useful for calibrating quantum sub-circuits to counter coherent noise but cannot correct for the incoherent noise present in current devices.
  arXiv  Detail & Related papers  (2024-11-05T16:44:18Z)
• Discriminating the Phase of a Coherent Tone with a Flux-Switchable Superconducting Circuit [50.591267188664666]
  We propose a new phase detection technique based on a flux-switchable superconducting circuit. The Josephson digital phase detector (JDPD) is capable of discriminating between two phase values of a coherent input tone.
  arXiv  Detail & Related papers  (2023-06-20T08:09:37Z)
• A GKP qubit protected by dissipation in a high-impedance superconducting circuit driven by a microwave frequency comb [0.0]
  We propose a novel approach to generate, protect and control GKP qubits. It employs a microwave frequency comb parametrically modulating a Josephson circuit to enforce a dissipative dynamics of a high impedance circuit mode. The encoded GKP qubit is robustly protected against all dominant decoherence channels plaguing superconducting circuits but quasi-particle poisoning.
  arXiv  Detail & Related papers  (2023-04-04T00:20:02Z)
• Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit [50.591267188664666]
  Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss. Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states. 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)
• Dual-rail encoding with superconducting cavities [2.003418126964701]
  We introduce the circuit-Quantum Electrodynamics (QED) dual-rail qubit in which our physical qubit is encoded in the single-photon subspace of two superconducting microwave cavities. We describe how to perform a gate-based set of universal operations that includes state preparation, logical readout, and parametrizable single and two-qubit gates.
  arXiv  Detail & Related papers  (2022-12-22T23:21:39Z)
• Extensible circuit-QED architecture via amplitude- and frequency-variable microwaves [52.77024349608834]
  We introduce a circuit-QED architecture combining fixed-frequency qubits and microwave-driven couplers. Drive parameters appear as tunable knobs enabling selective two-qubit coupling and coherent-error suppression.
  arXiv  Detail & Related papers  (2022-04-17T22:49:56Z)
• Quantum circuit debugging and sensitivity analysis via local inversions [62.997667081978825]
  We present a technique that pinpoints the sections of a quantum circuit that affect the circuit output the most. We demonstrate the practicality and efficacy of the proposed technique by applying it to example algorithmic circuits implemented on IBM quantum machines.
  arXiv  Detail & Related papers  (2022-04-12T19:39:31Z)
• Towards Quantum Gates with Wide Operating Margins [0.0]
  We introduce a composite qubit and gate scheme that achieves wide margins by use of transistor-like nonlinearities. We focus on a resource-effcient variation that exploits biased noise and preserves bias under gate operation.
  arXiv  Detail & Related papers  (2022-02-21T19:00:58Z)
• Tunable coupling scheme for implementing two-qubit gates on fluxonium qubits [0.0]
  The superconducting fluxonium circuit is an RF-SQUID-type flux qubit that uses a large inductance built from an array of Josephson junctions or a high kinetic inductance material. In contrast to the transmon qubit, the anharmonicity of fluxonium can be large and positive, allowing for better separation between the low energy qubit manifold of the circuit and higher-lying excited states. We propose a tunable coupling scheme for implementing two-qubit gates on fixed-frequency fluxonium qubits, biased at half flux quantum.
  arXiv  Detail & Related papers  (2021-07-24T07:21:01Z)
• Moving beyond the transmon: Noise-protected superconducting quantum circuits [55.49561173538925]
  superconducting circuits offer opportunities to store and process quantum information with high fidelity. Noise-protected devices constitute a new class of qubits in which the computational states are largely decoupled from local noise channels. This Perspective reviews the theoretical principles at the heart of these new qubits, describes recent experiments, and highlights the potential of robust encoding of quantum information in superconducting qubits.
  arXiv  Detail & Related papers  (2021-06-18T18:00:13Z)

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.