TY  - JOUR
A1  - Hoban, Matty J.
A1  - Campbell, Earl T.
A1  - Loukopoulos, Klearchos
A1  - Browne, Dan E.
T1  - Non-adaptive measurement-based quantum computation and multi-party Bell inequalities
JF  - New journal of physics : the open-access journal for physics
N2  - Quantum correlations exhibit behaviour that cannot be resolved with a local hidden variable picture of the world. In quantum information, they are also used as resources for information processing tasks, such as measurement-based quantum computation (MQC). In MQC, universal quantum computation can be achieved via adaptive measurements on a suitable entangled resource state. In this paper, we look at a version of MQC in which we remove the adaptivity of measurements and aim to understand what computational abilities remain in the resource. We show that there are explicit connections between this model of computation and the question of non-classicality in quantum correlations. We demonstrate this by focusing on deterministic computation of Boolean functions, in which natural generalizations of the Greenberger-Horne-Zeilinger paradox emerge; we then explore probabilistic computation via, which multipartite Bell inequalities can be defined. We use this correspondence to define families of multi-party Bell inequalities, which we show to have a number of interesting contrasting properties.
Y1  - 2011
U6  - https://doi.org/10.1088/1367-2630/13/2/023014
SN  - 1367-2630
VL  - 13
IS  - 1
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Campbell, Earl T.
A1  - Eisert, Jens
T1  - Gaussification and entanglement distillation of continuous-variable systems a unifying picture
JF  - Physical review letters
N2  - Distillation of entanglement using only Gaussian operations is an important primitive in quantum communication, quantum repeater architectures, and distributed quantum computing. Existing distillation protocols for continuous degrees of freedom are only known to converge to a Gaussian state when measurements yield precisely the vacuum outcome. In sharp contrast, non-Gaussian states can be deterministically converted into Gaussian states while preserving their second moments, albeit by usually reducing their degree of entanglement. In this work-based on a novel instance of a noncommutative central limit theorem-we introduce a picture general enough to encompass the known protocols leading to Gaussian states, and new classes of protocols including multipartite distillation. This gives the experimental option of balancing the merits of success probability against entanglement produced.
Y1  - 2012
U6  - https://doi.org/10.1103/PhysRevLett.108.020501
SN  - 0031-9007
VL  - 108
IS  - 2
PB  - American Physical Society
CY  - College Park
ER  - 
TY  - JOUR
A1  - Campbell, Earl T.
T1  - Catalysis and activation of magic states in fault-tolerant architectures
JF  - Physical review : A, Atomic, molecular, and optical physics
N2  - In many architectures for fault-tolerant quantum computing universality is achieved by a combination of Clifford group unitary operators and preparation of suitable nonstabilizer states, the so-called magic states. Universality is possible even for some fairly noisy nonstabilizer states, as distillation can convert many noisy copies into fewer purer magic states. Here we propose protocols that exploit multiple species of magic states in surprising ways. These protocols provide examples of previously unobserved phenomena that are analogous to catalysis and activation well known in entanglement theory.
Y1  - 2011
U6  - https://doi.org/10.1103/PhysRevA.83.032317
SN  - 1050-2947
VL  - 83
IS  - 3
PB  - American Physical Society
CY  - College Park
ER  -