8,390 research outputs found
Generalized self-testing and the security of the 6-state protocol
Self-tested quantum information processing provides a means for doing useful
information processing with untrusted quantum apparatus. Previous work was
limited to performing computations and protocols in real Hilbert spaces, which
is not a serious obstacle if one is only interested in final measurement
statistics being correct (for example, getting the correct factors of a large
number after running Shor's factoring algorithm). This limitation was shown by
McKague et al. to be fundamental, since there is no way to experimentally
distinguish any quantum experiment from a special simulation using states and
operators with only real coefficients.
In this paper, we show that one can still do a meaningful self-test of
quantum apparatus with complex amplitudes. In particular, we define a family of
simulations of quantum experiments, based on complex conjugation, with two
interesting properties. First, we are able to define a self-test which may be
passed only by states and operators that are equivalent to simulations within
the family. This extends work of Mayers and Yao and Magniez et al. in
self-testing of quantum apparatus, and includes a complex measurement. Second,
any of the simulations in the family may be used to implement a secure 6-state
QKD protocol, which was previously not known to be implementable in a
self-tested framework.Comment: To appear in proceedings of TQC 201
Adiabatic Quantum Computation in Open Systems
We analyze the performance of adiabatic quantum computation (AQC) under the
effect of decoherence. To this end, we introduce an inherently open-systems
approach, based on a recent generalization of the adiabatic approximation. In
contrast to closed systems, we show that a system may initially be in an
adiabatic regime, but then undergo a transition to a regime where adiabaticity
breaks down. As a consequence, the success of AQC depends sensitively on the
competition between various pertinent rates, giving rise to optimality
criteria.Comment: v2: 4 pages, 1 figure. Published versio
Generating sequential space-filling designs using genetic algorithms and Monte Carlo methods
In this paper, the authors compare a Monte Carlo method and an optimization-based approach using genetic algorithms for sequentially generating space-filling experimental designs. It is shown that Monte Carlo methods perform better than genetic algorithms for this specific problem
Complexes of mercury(II) and zinc(II) with primary aromatic amines
A series of amine complexes has been prepared by reaction of zinc chloride and mercuric chloride with primary aromatic amines. A detailed assignment of the bands in the infra-red spectra of the complexes in the range 4000-625 cm [superscript]-1 is presented. The symmetric and asymmetric N-H stretching frequencies follow the relationship v(sym) = 345.5+ 0.876v(asym). The C-N stretching frequencies exhibit a linear relationship with the Hammett α-functions for the m- and p-substituted amines
Scaling of running time of quantum adiabatic algorithm for propositional satisfiability
We numerically study quantum adiabatic algorithm for the propositional
satisfiability. A new class of previously unknown hard instances is identified
among random problems. We numerically find that the running time for such
instances grows exponentially with their size. Worst case complexity of quantum
adiabatic algorithm therefore seems to be exponential.Comment: 7 page
Improved Error-Scaling for Adiabatic Quantum State Transfer
We present a technique that dramatically improves the accuracy of adiabatic
state transfer for a broad class of realistic Hamiltonians. For some systems,
the total error scaling can be quadratically reduced at a fixed maximum
transfer rate. These improvements rely only on the judicious choice of the
total evolution time. Our technique is error-robust, and hence applicable to
existing experiments utilizing adiabatic passage. We give two examples as
proofs-of-principle, showing quadratic error reductions for an adiabatic search
algorithm and a tunable two-qubit quantum logic gate.Comment: 10 Pages, 4 figures. Comments are welcome. Version substantially
revised to generalize results to cases where several derivatives of the
Hamiltonian are zero on the boundar
Critical collapse of a massive vector field
We perform numerical simulations of the critical gravitational collapse of a
massive vector field. The result is that there are two critical solutions. One
is equivalent to the Choptuik critical solution for a massless scalar field.
The other is periodic.Comment: 7 pages, 4 figure
Complexes of zinc, cadmium and mercury with primary aromatic amines
We have examined the infrared spectra of thirty-seven complexes derived from the reaction of zinc chloride, mercuric chloride and cadmium chloride, bromide and iodide with several primary aromatic amines. The object of the study was to ascertain whether the frequency data would shed light on the mechanisms of metal-donor atom bonding and electron shifts within the molecules and, in the case of the cadmium complexes, in order to obtain evidence for the transmission of electronic effects through a cadmium atom
Spontaneous Lorentz Breaking and Massive Gravity
We study a theory where the presence of an extra spin-two field coupled to
gravity gives rise to a phase with spontaneously broken Lorentz symmetry. In
this phase gravity is massive, and the Weak Equivalence Principle is respected.
The newtonian potentials are in general modified, but we identify an
non-perturbative symmetry that protects them. The gravitational waves sector
has a rich phenomenology: sources emit a combination of massless and massive
gravitons that propagate with distinct velocities and also oscillate. Since
their velocities differ from the speed of light, the time of flight difference
between gravitons and photons from a common source could be measured.Comment: 4 page
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