254 research outputs found
Off-diagonal geometric phase for mixed states
We extend the off-diagonal geometric phase [Phys. Rev. Lett. {\bf 85}, 3067
(2000)] to mixed quantal states. The nodal structure of this phase in the qubit
(two-level) case is compared with that of the diagonal mixed state geometric
phase [Phys. Rev. Lett. {\bf 85}, 2845 (2000)]. Extension to higher dimensional
Hilbert spaces is delineated. A physical scenario for the off-diagonal mixed
state geometric phase in polarization-entangled two-photon interferometry is
proposed.Comment: small corrections; journal reference adde
Practical learning method for multi-scale entangled states
We describe a method for reconstructing multi-scale entangled states from a
small number of efficiently-implementable measurements and fast
post-processing. The method only requires single particle measurements and the
total number of measurements is polynomial in the number of particles. Data
post-processing for state reconstruction uses standard tools, namely matrix
diagonalisation and conjugate gradient method, and scales polynomially with the
number of particles. Our method prevents the build-up of errors from both
numerical and experimental imperfections
Testing the bounds on quantum probabilities
Bounds on quantum probabilities and expectation values are derived for
experimental setups associated with Bell-type inequalities. In analogy to the
classical bounds, the quantum limits are experimentally testable and therefore
serve as criteria for the validity of quantum mechanics.Comment: 9 pages, Revte
Characterization and tomography of a hidden qubit
In circuit-based quantum computing, the available gate set typically consists
of single-qubit gates acting on each individual qubit and at least one
entangling gate between pairs of qubits. In certain physical architectures,
however, some qubits may be 'hidden' and lacking direct addressability through
dedicated control and readout lines, for instance because of limited on-chip
routing capabilities, or because the number of control lines becomes a limiting
factor for many-qubit systems. In this case, no single-qubit operations can be
applied to the hidden qubits and their state cannot be measured directly.
Instead, they may be controlled and read out only via single-qubit operations
on connected 'control' qubits and a suitable set of two-qubit gates. We first
discuss the impact of such restricted control capabilities on the quantum
volume of specific qubit coupling networks. We then experimentally demonstrate
full control and measurement capabilities in a superconducting two-qubit device
with local single-qubit control and iSWAP and controlled-phase two-qubit
interactions enabled by a tunable coupler. We further introduce an iterative
tune-up process required to completely characterize the gate set used for
quantum process tomography and evaluate the resulting gate fidelities
Visual Processing in Rapid-Chase Systems: Image Processing, Attention, and Awareness
Visual stimuli can be classified so rapidly that their analysis may be based on a single sweep of feedforward processing through the visuomotor system. Behavioral criteria for feedforward processing can be evaluated in response priming tasks where speeded pointing or keypress responses are performed toward target stimuli which are preceded by prime stimuli. We apply this method to several classes of complex stimuli. (1) When participants classify natural images into animals or non-animals, the time course of their pointing responses indicates that prime and target signals remain strictly sequential throughout all processing stages, meeting stringent behavioral criteria for feedforward processing (rapid-chase criteria). (2) Such priming effects are boosted by selective visual attention for positions, shapes, and colors, in a way consistent with bottom-up enhancement of visuomotor processing, even when primes cannot be consciously identified. (3) Speeded processing of phobic images is observed in participants specifically fearful of spiders or snakes, suggesting enhancement of feedforward processing by long-term perceptual learning. (4) When the perceived brightness of primes in complex displays is altered by means of illumination or transparency illusions, priming effects in speeded keypress responses can systematically contradict subjective brightness judgments, such that one prime appears brighter than the other but activates motor responses as if it was darker. We propose that response priming captures the output of the first feedforward pass of visual signals through the visuomotor system, and that this output lacks some characteristic features of more elaborate, recurrent processing. This way, visuomotor measures may become dissociated from several aspects of conscious vision. We argue that “fast” visuomotor measures predominantly driven by feedforward processing should supplement “slow” psychophysical measures predominantly based on visual awareness
New Aspects of Geometric Phases in Experiments with polarized Neutrons
Geometric phase phenomena in single neutrons have been observed in
polarimeter and interferometer experiments. Interacting with static and time
dependent magnetic fields, the state vectors acquire a geometric phase tied to
the evolution within spin subspace. In a polarimeter experiment the
non-additivity of quantum phases for mixed spin input states is observed. In a
Si perfect-crystal interferometer experiment appearance of geometric phases,
induced by interaction with an oscillating magnetic field, is verified. The
total system is characterized by an entangled state, consisting of neutron and
radiation fields, governed by a Jaynes-Cummings Hamiltonian. In addition, the
influence of the geometric phase on a Bell measurement, expressed by the
Clauser-Horne-Shimony-Holt (CHSH) inequality, is studied. It is demonstrated
that the effect of geometric phase can be balanced by an appropriate change of
Bell angles.Comment: 17 pages, 9 figure
Generalizing Tsirelson's bound on Bell inequalities using a min-max principle
Bounds on the norm of quantum operators associated with classical Bell-type
inequalities can be derived from their maximal eigenvalues. This quantitative
method enables detailed predictions of the maximal violations of Bell-type
inequalities.Comment: 4 pages, 2 figures, RevTeX4, replaced with published versio
Geometric Phase in Entangled Systems: A Single-Neutron Interferometer Experiment
The influence of the geometric phase on a Bell measurement, as proposed by
Bertlmann et al. in [Phys. Rev. A 69, 032112 (2004)], and expressed by the
Clauser-Horne-Shimony-Holt (CHSH) inequality, has been observed for a spin-path
entangled neutron state in an interferometric setup. It is experimentally
demonstrated that the effect of geometric phase can be balanced by a change in
Bell angles. The geometric phase is acquired during a time dependent
interaction with two radio-frequency (rf) fields. Two schemes, polar and
azimuthal adjustment of the Bell angles, are realized and analyzed in detail.
The former scheme, yields a sinusoidal oscillation of the correlation function
S, dependent on the geometric phase, such that it varies in the range between 2
and 2\sqrt{2} and, therefore, always exceeds the boundary value 2 between
quantum mechanic and noncontextual theories. The latter scheme results in a
constant, maximal violation of the Bell-like-CHSH inequality, where S remains
2\sqrt2 for all settings of the geometric phase.Comment: 10 pages 9 figure
Optical tomography of Fock state superpositions
We consider optical tomography of photon Fock state superpositions in
connection with recent experimental achievements. The emphasis is put on the
fact that it suffices to represent the measured tomogram as a main result of
the experiment. We suggest a test for checking the correctness of experimental
data. Explicit expressions for optical tomograms of Fock state superpositions
are given in terms of Hermite polynomials. Particular cases of vacuum and low
photon-number state superposition are considered as well as influence of
thermal noise on state purity is studied.Comment: 5 pages, 2 figure
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