Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings

Abstract

We present techniques for performing two-qubit gates on Gottesman-Kitaev-Preskill (GKP) codes with finite energy, and find that operations designed for ideal infinite-energy codes create undesired entanglement when applied to physically realistic states. We demonstrate that this can be mitigated using recently developed local error-correction protocols, and evaluate the resulting performance. We also propose energy-conserving finite-energy gate implementations which largely avoid the need for further correction.

7 + 40 pages, 3 + 25 figures

References in corpus (16)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Real-time quantum error correction beyond break-even
• Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
• Kerr-free three-wave mixing in superconducting quantum circuits
• Low overhead fault-tolerant quantum error correction with the surface-GKP code
• Tunable and Switchable Coupling Between Two Superconducting Resonators
• $N$-body interactions between trapped ion qubits via spin-dependent squeezing
• First-Order Trotter Error from a Second-Order Perspective
• Bias in error-corrected quantum sensing
• Two mode coupling in a single ion oscillator via parametric resonance
• Universal hybrid quantum computing in trapped ions
• Stabilizer subsystem decompositions for single- and multi-mode Gottesman-Kitaev-Preskill codes
• Robust two-qubit trapped ions gates using spin-dependent squeezing
• Coherent coupling and non-destructive measurement of trapped-ion mechanical oscillators
• Ancilla-Error-Transparent Controlled Beam Splitter Gate
• Universal unitary transfer of continuous-variable quantum states into a few qubits

Cited by in corpus (9)

• Quantum Error Correction of Qudits Beyond Break-even
• Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Bosonic Quantum Error Correction with Neutral Atoms in Optical Dipole Traps
• Synthetic high angular momentum spin dynamics in a microwave oscillator
• Cancellation of phonon hopping in trapped ions by modulation of the trap potential
• A Linear Quantum Coupler for Clean Bosonic Control
• A method of an on-demand beamsplitter for trapped-ion quantum computers
• Linear-optical protocols for mitigating and suppressing noise in bosonic systems