Fuentes University of Nottingham RELATIVISTIC QUANTUM INFORMATION PROCESSING WITH MOVING CAVITIES http rqinottinghamweeblycom relativistic quantum information and metrology postdocs ID: 275324
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Slide1
Ivette FuentesUniversity of Nottingham
RELATIVISTIC
QUANTUM INFORMATION PROCESSINGWITH MOVING CAVITIES Slide2
http://rqinottingham.weebly.com/
relativistic quantum information and metrology
postdocsMehdi AhmadiJason DoukasAndrzej Dragan (now in Warsaw)Carlos SabinAngela WhitePhD studentsNicolai FriisAntony LeeLuke Westwoodproject studentKevin TruongcollaboratorsDavid 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!!!!)Slide3
relativistic quantum information
INFORMATION THEORY
superpositionentanglement
CNOT
QUANTUM PHYSICS
c
omputation
communication
RELATIVITY
causality
geometry
REAL
WORLD
EXPERIMENTSSlide4
real world experiments
quantum communication
PHOTONS HAVE NO NON-RELATIVISTIC APPROXIMATIONspacebased experimentsRideout, et. al. arXiv:1206.4949Slide5
relativistic quantum information
information in a relativistic quantum world
cavitiesdetectorslocalized wave-packetsgravity effects on quantum propertiesget real: earth-based and space-based experiments
Slide6
entanglement
entangled pairSlide7
inertial cavity
field equation
solutions: plane waves+ boundary creation and annihilation operators
Minkowski
coordinates Slide8
uniformly accelerated cavity
Klein-Gordon takes the same form
Rindler
coordinates
Bogoliubov
transformationsSlide9
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
resultsSlide10
non-uniform motion
Bruschi
, Fuentes & Louko PRD (R) 2011
Bogoliubov
transformations
acceleration length
computable transformationsSlide11
covariance matrix formalism
c
ovariance
matrix: information
about the state
symplectic
matrix
: evolution
computable measures of bipartite and multipartite entanglementSlide12
Friis
and Fuentes JMO (invited) 2012
general symplectic
matrix
general trajectoriesSlide13
e
ntanglement
: negativity
Friis
,
Bruschi
,
Louko & Fuentes PRD 2012 Friis and Fuentes JMO 2012 Bruschi, Louko
, Faccio & Fuentes 2012
entanglement generated
initial separable squeezed state
g
eneral
trajectories
continuous motion
including circular accelerationSlide14
motion and gravity create entanglement
n
on-uniform motion creates entanglement
gravity creates entanglement
results
s
ingle cavity
Friis
,
Bruschi
,
Louko
, Fuentes
PRD (R) 2012Slide15
entanglement resonances
Bruschi
, Lee, Dragan, Fuentes, Louko arXiv:1201.0663Bruschi, 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 creation
o
bservable
by mechanical meansSlide16
quantum gates
t
he relativistic motion of
quantum systems can be used
to produce quantum gates
t
wo-mode squeezer
b
eam splitter
m
ulti-qubit
gates:Dicke statesMulti-mode squeezer
Friis
, Huber, Fuentes, Bruschi PRD 2012
Bruschi, Lee, Dragan, Fuentes,
Louko arXiv:1201.0663Bruschi
, Louko, Faccio & Fuentes 2012Slide17
multipartite case
Entanglement: genuine multipartite entanglement created
dates creating Dicke states
Friis
, Huber, Fuentes,
Bruschi
PRD 2012
resonance:Slide18
teleporation with an accelerated partner
the fidelity of teleportation is effected by motion
it is possible to correct by local rotations and trip planningFriis
, Lee, Truong, Sabin,
Solano
, Johansson & Fuentes 2012Slide19
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 2012Slide20
Thank you