Ivette FuentesUniversity of Nottingham

RELATIVISTIC QUANTUM INFORMATION PROCESSING

WITH MOVING CAVITIES

http://rqinottingham.weebly.com/

relativistic quantum information and metrology

postdocsMehdi AhmadiJason DoukasAndrzej Dragan (now in Warsaw)Carlos SabinAngela White

PhD studentsNicolai FriisAntony LeeLuke Westwood

project studentKevin Truong

collaboratorsDavid Bruschi (Leeds)Tony Downes (Queensland)Daniele Faccio (Herriot-Watt)Marcus Huber (Bristol/Barcelona)Göran Johansson (Chalmers)Jorma Louko (Nottingham)Enrique Solano (Bilbao)Tim Ralph (Queensland)Silke Weinfurtner (SISSA, Trieste)

FUNDING: EPSRC (THANKS!!!!)

relativistic quantum informationINFORMATION THEORY

superposition

entanglement

CNOT

QUANTUM PHYSICS

computation

communication

RELATIVITY

causality

geometry

REAL WORLD

EXPERIMENTS

real world experimentsquantum communication

PHOTONS HAVE NO NON-RELATIVISTIC APPROXIMATION

spacebased experiments

Rideout, et. al. arXiv:1206.4949

relativistic quantum information

•information in a relativistic quantum world

• cavities

• detectors

• localized wave-packets

•gravity effects on quantum properties

•get real: earth-based and space-based experiments

entanglement

entangled pair

inertial cavity

field equation

solutions: plane waves+ boundary

creation and annihilation operators

Minkowski coordinates

uniformly accelerated cavity

Klein-Gordon takes the same form

Rindler coordinates

Bogoliubov transformations

entangling moving cavities in non-inertial frames Downes, Fuentes & Ralph PRL 2011

ability to entangle: depends on acceleration

entanglement preserved: inertial or uniform acceleration motion

entangle two cavities:one inertial and one accelerated

idea

results

non-uniform motionBruschi, Fuentes & Louko PRD (R) 2011

Bogoliubov transformations

acceleration length

computable transformations

covariance matrix formalism

covariance matrix: information about the state

symplectic matrix: evolution

computable measures of bipartite and multipartite entanglement

Friis and Fuentes JMO (invited) 2012

general symplectic matrix

general trajectories

entanglement: negativity

Friis, Bruschi, Louko & Fuentes PRD 2012 Friis and Fuentes JMO 2012 Bruschi, Louko, Faccio & Fuentes 2012

entanglement generated

initial separable squeezed state

general trajectoriescontinuous motion including circular acceleration

motion and gravity create entanglement

non-uniform motion creates entanglement

gravity creates entanglement

results

single cavity

Friis, Bruschi, Louko, Fuentes PRD (R) 2012

entanglement resonancesBruschi, Lee, Dragan, Fuentes, Louko arXiv:1201.0663

Bruschi, Louko, Faccio & Fuentes 2012

Entanglement vs.number of oscillations and period of oscillation

amount of entanglement

entanglement resonance

total segment time

trajectory details

Also: entanglement resonance without particle creationobservable by mechanical means

quantum gates

the relativistic motion ofquantum systems can be usedto produce quantum gates

two-mode squeezerbeam splittermulti-qubit gates:Dicke statesMulti-mode squeezer

Friis, Huber, Fuentes, Bruschi PRD 2012Bruschi, Lee, Dragan, Fuentes, Louko arXiv:1201.0663

Bruschi, Louko, Faccio & Fuentes 2012

multipartite case

Entanglement: genuine multipartite entanglement created

dates creating Dicke states

Friis, Huber, Fuentes, Bruschi PRD 2012

resonance:

teleporation with an accelerated partner

the fidelity of teleportation is effected by motionit is possible to correct by local rotations and trip planning

Friis, Lee, Truong, Sabin, Solano, Johansson & Fuentes 2012

new directions: experiments

simulate field inside a cavity which travels in a spaceship using superconducting circuits

To infinity and beyond…….

Art by Philip Krantz (Chalmers)

Friis, Lee, Truong, Sabin, Solano, Johansson & Fuentes 2012

Thank you