151 research outputs found
Quantum Cournot equilibrium for the Hotelling-Smithies model of product choice
This paper demonstrates the quantization of a spatial Cournot duopoly model
with product choice, a two stage game focusing on non-cooperation in locations
and quantities. With quantization, the players can access a continuous set of
strategies, using continuous variable quantum mechanical approach. The presence
of quantum entanglement in the initial state identifies a quantity equilibrium
for every location pair choice with any transport cost. Also higher profit is
obtained by the firms at Nash equilibrium. Adoption of quantum strategies
rewards us by the existence of a larger quantum strategic space at equilibrium.Comment: 13 pages, 6 tables, 8 figure
Reversibility in the Extended Measurement-based Quantum Computation
When applied on some particular quantum entangled states, measurements are
universal for quantum computing. In particular, despite the fondamental
probabilistic evolution of quantum measurements, any unitary evolution can be
simulated by a measurement-based quantum computer (MBQC). We consider the
extended version of the MBQC where each measurement can occur not only in the
(X,Y)-plane of the Bloch sphere but also in the (X,Z)- and (Y,Z)-planes. The
existence of a gflow in the underlying graph of the computation is a necessary
and sufficient condition for a certain kind of determinism. We extend the
focused gflow (a gflow in a particular normal form) defined for the (X,Y)-plane
to the extended case, and we provide necessary and sufficient conditions for
the existence of such normal forms
Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
We report the first experimental generation and characterization of a
six-photon Dicke state. The produced state shows a fidelity of F=0.56+/-0.02
with respect to an ideal Dicke state and violates a witness detecting genuine
six-qubit entanglement by four standard deviations. We confirm characteristic
Dicke properties of our resource and demonstrate its versatility by projecting
out four- and five-photon Dicke states, as well as four-photon GHZ and W
states. We also show that Dicke states have interesting applications in
multiparty quantum networking protocols such as open-destination teleportation,
telecloning and quantum secret sharing.Comment: 4 pages, 4 figures, RevTeX
Time-reversal and super-resolving phase measurements
We demonstrate phase super-resolution in the absence of entangled states. The
key insight is to use the inherent time-reversal symmetry of quantum mechanics:
our theory shows that it is possible to \emph{measure}, as opposed to prepare,
entangled states. Our approach is robust, requiring only photons that exhibit
classical interference: we experimentally demonstrate high-visibility phase
super-resolution with three, four, and six photons using a standard laser and
photon counters. Our six-photon experiment demonstrates the best phase
super-resolution yet reported with high visibility and resolution.Comment: 4 pages, 3 figure
Experimental realization of a quantum game on a one-way quantum computer
We report the first demonstration of a quantum game on an all-optical one-way
quantum computer. Following a recent theoretical proposal we implement a
quantum version of Prisoner's Dilemma, where the quantum circuit is realized by
a 4-qubit box-cluster configuration and the player's local strategies by
measurements performed on the physical qubits of the cluster. This
demonstration underlines the strength and versatility of the one-way model and
we expect that this will trigger further interest in designing quantum
protocols and algorithms to be tested in state-of-the-art cluster resources.Comment: 13 pages, 4 figure
Demonstration of a simple entangling optical gate and its use in Bell-state analysis
We demonstrate a new architecture for an optical entangling gate that is
significantly simpler than previous realisations, using partially-polarising
beamsplitters so that only a single optical mode-matching condition is
required. We demonstrate operation of a controlled-Z gate in both
continuous-wave and pulsed regimes of operation, fully characterising it in
each case using quantum process tomography. We also demonstrate a
fully-resolving, nondeterministic optical Bell-state analyser based on this
controlled-Z gate. This new architecture is ideally suited to guided optics
implementations of optical gates.Comment: 4 pages, 3 figures. v2: additional author, improved data and figures
(low res), some other minor changes. Accepted for publication in PR
Logical independence and quantum randomness
We propose a link between logical independence and quantum physics. We
demonstrate that quantum systems in the eigenstates of Pauli group operators
are capable of encoding mathematical axioms and show that Pauli group quantum
measurements are capable of revealing whether or not a given proposition is
logically dependent on the axiomatic system. Whenever a mathematical
proposition is logically independent of the axioms encoded in the measured
state, the measurement associated with the proposition gives random outcomes.
This allows for an experimental test of logical independence. Conversely, it
also allows for an explanation of the probabilities of random outcomes observed
in Pauli group measurements from logical independence without invoking quantum
theory. The axiomatic systems we study can be completed and are therefore not
subject to Goedel's incompleteness theorem.Comment: 9 pages, 4 figures, published version plus additional experimental
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