# Nonlocality and communication complexity

@article{Buhrman2010NonlocalityAC, title={Nonlocality and communication complexity}, author={Harry Buhrman and Richard Cleve and Serge Massar and Ronald de Wolf}, journal={Reviews of Modern Physics}, year={2010}, volume={82}, pages={665-698} }

Quantum information processing is the emerging field that defines and realizes computing devices that make use of quantum mechanical principles, like the superposition principle, entanglement, and interference. Until recently the common notion of computing was based on classical mechanics, and did not take into account all the possibilities that physically-realizable computing devices offer in principle. The field gained momentum after Peter Shor developed an efficient algorithm for factoring…

## 383 Citations

Experimental Quantum Switching for Exponentially Superior Quantum Communication Complexity.

- Computer Science, PhysicsPhysical review letters
- 2019

The results elucidate the crucial role of the coherence of communication direction in achieving the exponential separation for the one-way processing task, and open a new path for experimentally exploring the fundamentals and applications of advanced features of indefinite causal structures.

Quantum networks reveal quantum nonlocality.

- PhysicsNature communications
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This work shows, using its framework, how any one-way entanglement distillable state leads to nonlocal correlations and proves that quantum nonlocality is a non-additive resource, which can be activated.

Contextuality supplies the ‘magic’ for quantum computation

- PhysicsNature
- 2014

This work proves a remarkable equivalence between the onset of contextuality and the possibility of universal quantum computation via ‘magic state’ distillation, which is the leading model for experimentally realizing a fault-tolerant quantum computer.

Lower bounds on the communication complexity of two-party (quantum) processes

- Computer Science, Mathematics2014 IEEE International Symposium on Information Theory
- 2014

It is proved that this optimization problem is the dual of a geometric programming problem, which displays some appealing properties that imply that, once a feasible point is found, the computation of a lower bound on the communication cost in any two-party process is linearly complex.

High-Dimensional Quantum Communication Complexity beyond Strategies Based on Bell's Theorem.

- PhysicsPhysical review letters
- 2018

This work focuses on a family of CCPs, based on facet Bell inequalities, and finds that the advantages are tied to the use of measurements that are not rank-one projective, and provides an experimental semi-device-independent falsification of such measurements in Hilbert space dimension six.

Quantum Communication Complexity using the Quantum Zeno Effect

- Physics
- 2015

The quantum Zeno effect (QZE) is the phenomenon where the unitary evolution of a quantum state is suppressed e.g. due to frequent measurements. Here, we investigate the use of the QZE in a class of…

Photonic quantum information processing: A concise review

- PhysicsApplied Physics Reviews
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This concise review provides a flyover of some key aspects of the field, with a focus on experiment, and promises to out aside its reputation for requiring excessive resource overheads due to inefficient two-qubit gates.

Non-adaptive measurement-based quantum computation and multi-party Bell inequalities

- Computer Science
- 2011

There are explicit connections between this model of computation and the question of non-classicality in quantum correlations and this is demonstrated by focusing on deterministic computation of Boolean functions, in which natural generalizations of the Greenberger–Horne–Zeilinger paradox emerge.

Quantum states cannot be transmitted efficiently classically

- Computer ScienceQuantum
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Any classical two-way communication protocol with shared randomness that can approximately simulate the result of applying an arbitrary measurement to a quantum state of $n$ qubits, up to constant accuracy, must transmit at least $\Omega(2^n)$ bits.

Multi-party quantum fingerprinting with weak coherent pulses: circuit design and protocol analysis

- Computer Science
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Quantum communication has been leading the way of many remarkable theoretical results and experimental tests in physics. In this context, quantum communication complexity (QCC) has recently drawn…

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