955 research outputs found
Qutrit witness from the Grothendieck constant of order four
In this paper, we prove that , where denotes the
Grothendieck constant of order . To this end, we use a branch-and-bound
algorithm commonly used in the solution of NP-hard problems. It has recently
been proven that . Here we prove that ,
which has implications for device-independent witnessing dimensions greater
than two. Furthermore, the algorithm with some modifications may find
applications in various black-box quantum information tasks with large number
of inputs and outputs.Comment: 13 pages, 2 figure
Dimension witnesses and quantum state discrimination
Dimension witnesses allow one to test the dimension of an unknown physical
system in a device-independent manner, that is, without placing assumptions
about the functioning of the devices used in the experiment. Here we present
simple and general dimension witnesses for quantum systems of arbitrary Hilbert
space dimension. Our approach is deeply connected to the problem of quantum
state discrimination, hence establishing a strong link between these two
research topics. Finally, our dimension witnesses can distinguish between
classical and quantum systems of the same dimension, making them potentially
useful for quantum information processing.Comment: 5 page
Multiplicity Dependence of the Jet Structures in pp Collisions at LHC Energies
We study the event multiplicity dependence of the jet structure in pp
collisions. We present evidence for jet shape modification due to multi-parton
interactions using PYTHIA and HIJING++ Monte Carlo (MC) event generators as an
input to our analysis. We introduce a characteristic jet size measure which is
independent of the choice of the simulation parameters, parton distribution
functions, jet reconstruction algorithms and even of the presence or absence of
multi-parton interactions. We also investigate heavy-flavor jets and show the
sensitivity of the multiplicity-differential jet structure to flavor-dependent
fragmentation.Comment: Presented at Hot Quarks 2018 -- Workshop for young scientists on the
physics of ultrarelativistic nucleus-nucleus collisions, Texel, The
Netherlands, September 7-14 2018. Submitted to MDPI Proceeding
Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
We investigate the relation between the incompatibility of quantum
measurements and quantum nonlocality. We show that any set of measurements that
is not jointly measurable (i.e. incompatible) can be used for demonstrating EPR
steering, a form of quantum nonlocality. This implies that EPR steering and
(non) joint measurability can be viewed as equivalent. Moreover, we discuss the
connection between Bell nonlocality and joint measurability, and give evidence
that both notions are inequivalent. Specifically, we exhibit a set of
incompatible quantum measurements and show that it does not violate a large
class of Bell inequalities. This suggest the existence of incompatible quantum
measurements which are Bell local, similarly to certain entangled states which
admit a local hidden variable model.Comment: 6 pages, 1 figure, 2 tables, title slightly changed, one reference
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Activation of Non-Local Quantum Resources
We find two two-qubit states such that any number of copies of one state or
the other cannot violate the CHSH Bell inequality. However, their tensor
product can produce a CHSH violation of at least 2.023. We also identify a
CHSH-local state such that two copies of it are CHSH-violating. The tools
employed here can be easily adapted to find instances of non-locality
activation in arbitrary Bell scenarios
Optimal randomness certification from one entangled bit
By performing local projective measurements on a two-qubit entangled state
one can certify in a device-independent way up to one bit of randomness. We
show here that general measurements, defined by positive-operator-valued
measures, can certify up to two bits of randomness, which is the optimal amount
of randomness that can be certified from an entangled bit. General measurements
thus provide an advantage over projective ones for device-independent
randomness certification.Comment: 7 pages, 1 figure, computational details at
http://nbviewer.ipython.org/github/peterwittek/ipython-notebooks/blob/master/Optimal%20randomness%20generation%20from%20entangled%20quantum%20states.ipyn
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