Mode-mixing quantum gates and entanglement without particle creation in periodically accelerated cavities

Abstract

We show that mode-mixing quantum gates can be produced by nonuniform relativistic acceleration. Periodic motion in cavities exhibits a series of resonant conditions producing entangling quantum gates between different frequency modes. The resonant condition associated with particle creation is the main feature of the dynamical Casimir effect which has been recently demonstrated in superconducting circuits. We show that a second resonance, which has attracted less attention since it implies negligible particle production,

Quantum memory for Rindler supertranslations

“…Within an entanglement analysis that truncates the number of field modes, we identified subsystems whose entanglement is degraded and subsystems whose entanglement is enhanced, and the entanglement effect appears to be robust against the input used in the truncation. Similar entanglement degradation and generation has been previously found in cavity systems in noninertial motion [36,42,43].…”

Dynamical Casimir effect in curved spacetime

“…In other words, we assume that the boundaries are moving slowly enough that they are effectively stationary on the timescale of a massless particles' reflection. Then, in the same vein as [40], a differential equation for the total transformation can be derived. We first define a matrix of frequencies…”

“…A distinct variant of this conformal approach is developed in [40], which takes a view 'local' to an observer at the centre of a cavity, which undergoes some time-dependent proper acceleration. The boundary trajectories are set such that they are at a constant distance in the instantaneous Rindler frame corresponding to the observer's proper acceleration at a given moment in time.…”

Dynamical Casimir Effect for Gaussian Boson Sampling

“…Then we can obtain the Bogoliubov coefficients as a perturbative expansion in δ. In particular, the first order of the expansion will be given by [19]:…”