Hardware implementation of quantum stabilizers in superconducting circuits

Abstract

Stabilizer operations are at the heart of quantum error correction and are typically implemented in software-controlled entangling gates and measurements of groups of qubits. Alternatively, qubits can be designed so that the Hamiltonian corresponds directly to a stabilizer for protecting quantum information. We demonstrate such a hardware implementation of stabilizers in a superconducting circuit composed of chains of $\pi$-periodic Josephson elements. With local on-chip flux- and charge-biasing, we observe a softening of the energy band dispersion with respect to flux that is exponential in the number of frustrated plaquette elements, in close agreement with our numerical modeling.

arXiv comment6+30 pages, 4+18 figures, 0+6 tables, published version

References in corpus (23)

• Charge insensitive qubit design derived from the Cooper pair box
• Surface codes: Towards practical large-scale quantum computation
• Fluxonium: single Cooper pair circuit free of charge offsets
• Exponential suppression of bit or phase flip errors with repetitive error correction
• Correlated Charge Noise and Relaxation Errors in Superconducting Qubits
• Microwave Dielectric Loss at Single Photon Energies and milliKelvin Temperatures
• Topologically protected quantum bits from Josephson junction arrays
• Protected gates for superconducting qubits
• Superconducting Nanocircuits for Topologically Protected Qubits
• Experimental realization of an intrinsically error-protected superconducting qubit
• Moving beyond the transmon: Noise-protected superconducting quantum circuits
• Superconducting circuit protected by two-Cooper-pair tunneling
• Time-domain characterization and correction of on-chip distortion of control pulses in a quantum processor
• Coherence properties of the 0-$\pi$ qubit
• Protected Josephson Rhombi Chains
• Temperature square dependence of the low frequency 1/f charge noise in the Josephson junction qubits
• Bifluxon: Fluxon-Parity-Protected Superconducting Qubit
• Anomalous Charge Noise in Superconducting Qubits
• Quantum non-demolition dispersive readout of a superconducting artificial atom using large photon numbers
• Spectroscopic Evidence of the Aharonov-Casher effect in a Cooper Pair Box
• Driving forbidden transitions in the fluxonium artificial atom
• Magnifying quantum phase fluctuations with Cooper-pair pairing
• High speed flux sampling for tunable superconducting qubits with an embedded cryogenic transducer

Cited by in corpus (5)

• Cuprate Twistronics for Quantum Hardware
• An engineering guide to superconducting quantum circuit shielding
• Viewing protected superconducting qubits through the lens of the cat qubit
• Flux-Tunable Regimes and Supersymmetry in Twisted Cuprate Heterostructures
• Entanglemons: Cross-platform protected qubits from entanglement