1,902 research outputs found
General error estimate for adiabatic quantum computing
Most investigations devoted to the conditions for adiabatic quantum computing
are based on the first-order correction . However, it is
demonstrated that this first-order correction does not yield a good estimate
for the computational error. Therefore, a more general criterion is proposed,
which includes higher-order corrections as well and shows that the
computational error can be made exponentially small -- which facilitates
significantly shorter evolution times than the above first-order estimate in
certain situations. Based on this criterion and rather general arguments and
assumptions, it can be demonstrated that a run-time of order of the inverse
minimum energy gap is sufficient and necessary, i.e.,
T=\ord(\Delta E_{\rm min}^{-1}). For some examples, these analytical
investigations are confirmed by numerical simulations. PACS: 03.67.Lx,
03.67.-a.Comment: 8 pages, 6 figures, several modification
A scalable readout system for a superconducting adiabatic quantum optimization system
We have designed, fabricated and tested an XY-addressable readout system that
is specifically tailored for the reading of superconducting flux qubits in an
integrated circuit that could enable adiabatic quantum optimization. In such a
system, the flux qubits only need to be read at the end of an adiabatic
evolution when quantum mechanical tunneling has been suppressed, thus
simplifying many aspects of the readout process. The readout architecture for
an -qubit adiabatic quantum optimization system comprises hysteretic dc
SQUIDs and rf SQUID latches controlled by bias lines. The
latching elements are coupled to the qubits and the dc SQUIDs are then coupled
to the latching elements. This readout scheme provides two key advantages:
First, the latching elements provide exceptional flux sensitivity that
significantly exceeds what may be achieved by directly coupling the flux qubits
to the dc SQUIDs using a practical mutual inductance. Second, the states of the
latching elements are robust against the influence of ac currents generated by
the switching of the hysteretic dc SQUIDs, thus allowing one to interrogate the
latching elements repeatedly so as to mitigate the effects of stochastic
switching of the dc SQUIDs. We demonstrate that it is possible to achieve
single qubit read error rates of with this readout scheme. We have
characterized the system-level performance of a 128-qubit readout system and
have measured a readout error probability of in the presence
of optimal latching element bias conditions.Comment: Updated for clarity, final versio
Abelian and non-Abelian geometric phases in adiabatic open quantum systems
We introduce a self-consistent framework for the analysis of both Abelian and
non-Abelian geometric phases associated with open quantum systems, undergoing
cyclic adiabatic evolution. We derive a general expression for geometric
phases, based on an adiabatic approximation developed within an inherently
open-systems approach. This expression provides a natural generalization of the
analogous one for closed quantum systems, and we prove that it satisfies all
the properties one might expect of a good definition of a geometric phase,
including gauge invariance. A striking consequence is the emergence of a finite
time interval for the observation of geometric phases. The formalism is
illustrated via the canonical example of a spin-1/2 particle in a
time-dependent magnetic field. Remarkably, the geometric phase in this case is
immune to dephasing and spontaneous emission in the renormalized Hamiltonian
eigenstate basis. This result positively impacts holonomic quantum computing.Comment: v3: 10 pages, 2 figures. Substantially expanded version. Includes a
proof of gauge invariance of the non-Abelian geometric phase, and an appendix
on the left and right eigenvectors of the superoperator in the Jordan for
Reference Standards for Body Fat Measure Using GE Dual Energy X-Ray Absorptiometry in Caucasian Adults
Background Dual energy x-ray absorptiometry (DXA) is an established technique for the measurement of body composition. Reference values for these variables, particularly those related to fat mass, are necessary for interpretation and accurate classification of those at risk for obesityrelated health complications and in need of lifestyle modifications (diet, physical activity, etc.). Currently, there are no reference values available for GE-Healthcare DXA systems and it is known that whole-body and regional fat mass measures differ by DXA manufacturer.
Objective To develop reference values by age and sex for DXA-derived fat mass measurements with GE-Healthcare systems.
Methods A de-identified sample of 3,327 participants (2,076 women, 1,251 men) was obtained from Ball State University\u27s Clinical Exercise Physiology Laboratory and University of Wisconsin- Milwaukee\u27s Physical Activity & Health Research Laboratory. All scans were completed using a GE Lunar Prodigy or iDXA and data reported included percent body fat (%BF), fat mass index (FMI), and ratios of android-to-gynoid (A/G), trunk/limb, and trunk/leg fat measurements. Percentiles were calculated and a factorial ANOVA was used to determine differences in the mean values for each variable between age and sex.
Results Normative reference values for fat mass variables from DXA measurements obtained from GE-Healthcare DXA systems are presented as percentiles for both women and men in 10- year age groups. Women had higher (p\u3c0.01) mean %BF and FMI than men, whereas men had higher (p\u3c0.01) mean ratios of A/G, trunk/limb, and trunk/leg fat measurements than women
Spin-1/2 particles moving on a 2D lattice with nearest-neighbor interactions can realize an autonomous quantum computer
What is the simplest Hamiltonian which can implement quantum computation
without requiring any control operations during the computation process? In a
previous paper we have constructed a 10-local finite-range interaction among
qubits on a 2D lattice having this property. Here we show that
pair-interactions among qutrits on a 2D lattice are sufficient, too, and can
also implement an ergodic computer where the result can be read out from the
time average state after some post-selection with high success probability.
Two of the 3 qutrit states are given by the two levels of a spin-1/2 particle
located at a specific lattice site, the third state is its absence. Usual
hopping terms together with an attractive force among adjacent particles induce
a coupled quantum walk where the particle spins are subjected to spatially
inhomogeneous interactions implementing holonomic quantum computing. The
holonomic method ensures that the implemented circuit does not depend on the
time needed for the walk.
Even though the implementation of the required type of spin-spin interactions
is currently unclear, the model shows that quite simple Hamiltonians are
powerful enough to allow for universal quantum computing in a closed physical
system.Comment: More detailed explanations including description of a programmable
version. 44 pages, 12 figures, latex. To appear in PR
Measurement of the ground-state flux diagram of three coupled qubits as a first step towards the demonstration of adiabatic quantum computation
The ground state susceptibility of a system consisting of three flux-qubits
was measured in the complete three dimensional flux space around the common
degeneracy point of the qubits. The system's Hamiltonian could be completely
reconstructed from measurements made far away from the common degeneracy point.
The subsequent measurements made around this point show complete agreement with
the theoretical predictions which follow from this Hamiltonian. The ground
state anti-crossings of the system could be read-out directly from these
measurements. This allows one to determine the ground-state flux diagram, which
provides the solution for the non-polynomial optimization problem MAXCUT
encoded in the Hamiltonian of the three-flux-qubit system. Our results show
that adiabatic quantum computation can be demonstrated with this system
provided that the energy gap and/or the speed of the read-out is increased.Comment: accepted for publication by Europhysics Letter
Sign- and magnitude-tunable coupler for superconducting flux qubits
We experimentally confirm the functionality of a coupling element for
flux-based superconducting qubits, with a coupling strength whose sign and
magnitude can be tuned {\it in situ}. To measure the effective , the
groundstate of a coupled two-qubit system has been mapped as a function of the
local magnetic fields applied to each qubit. The state of the system is
determined by directly reading out the individual qubits while tunneling is
suppressed. These measurements demonstrate that can be tuned from
antiferromagnetic through zero to ferromagnetic.Comment: Updated text and figure
- …