Towards universal quantum computation through relativistic motion

Abstract

We show how to use relativistic motion and local phase shifts to generate continuous variable Gaussian cluster states within cavity modes. Our results can be demonstrated experimentally using superconducting circuits where tuneable boundary conditions correspond to mirrors moving with velocities close to the speed of light. In particular, we propose the generation of a quadripartite square cluster state as a first example that can be readily implemented in the laboratory. Since cluster states are universal resources for universal one-way quantum computation, our results pave the way for relativistic quantum computation schemes.

22 pages, 4 figures. I. F. previously published as I. Fuentes-Guridi and I. Fuentes-Schuller. Updated to match published version

References in corpus (16)

• Quantum Computing
• Universal Quantum Computation with Continuous-Variable Cluster States
• Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
• One-Way Quantum Computing in the Optical Frequency Comb
• Generating Entangled Microwave Radiation Over Two Transmission Lines
• Graphical calculus for Gaussian pure states
• Dynamical Casimir effect entangles artificial atoms
• Photon generation in an electromagnetic cavity with a time-dependent boundary
• Selective coupling of superconducting qubits via tunable stripline cavity
• Relativistic Quantum Teleportation with Superconducting Circuits
• Ultracompact Generation of Continuous-Variable Cluster States
• Scalar, spinor, and photon fields under relativistic cavity motion
• Entanglement generation in relativistic quantum fields
• Relativistic Motion with Superconducting Qubits
• Quantum gates and multipartite entanglement resonances realized by non-uniform cavity motion
• Towards universal quantum computation through relativistic motion

Cited by in corpus (16)

• Generating Multimode Entangled Microwaves with a Superconducting Parametric Cavity
• Tripartite Genuine Non-Gaussian Entanglement in Three-Mode Spontaneous Parametric Downconversion
• Coherence and multimode correlations from vacuum fluctuations in a microwave superconducting cavity
• Ultra-Strong Optomechanics Incorporating the Dynamical Casimir Effect
• Entanglement, coherence, and redistribution of quantum resources in double spontaneous downconversion processes
• Gravity in the Quantum Lab
• Towards universal quantum computation through relativistic motion
• Dynamical Casimir effect in curved spacetime
• Microwave photon generation in a doubly tunable superconducting resonator
• Generation and structuring of multipartite entanglement in Josephson parametric system
• Thermodynamics of relativistic quantum fields confined in cavities
• Quantum entanglement for two qubits in a nonstationary cavity
• A physically-motivated quantisation of the electromagnetic field on curved spacetimes
• Evolution of confined quantum scalar fields in curved spacetime. Part I
• Machine learning via relativity-inspired quantum dynamics
• A Universal Quantum Computer From Relativistic Motion