630 research outputs found
Decoding Schemes for Foliated Sparse Quantum Error Correcting Codes
Foliated quantum codes are a resource for fault-tolerant measurement-based
quantum error correction for quantum repeaters and for quantum computation.
They represent a general approach to integrating a range of possible quantum
error correcting codes into larger fault-tolerant networks. Here we present an
efficient heuristic decoding scheme for foliated quantum codes, based on
message passing between primal and dual code 'sheets'. We test this decoder on
two different families of sparse quantum error correcting code: turbo codes and
bicycle codes, and show reasonably high numerical performance thresholds. We
also present a construction schedule for building such code states.Comment: 23 pages, 15 figures, accepted for publication in Phys. Rev.
Photon Frequency Mode Matching using Acousto-Optic Frequency Beam Splitters
It is a difficult engineering task to create distinct solid state single
photon sources which nonetheless emit photons at the same frequency. It is also
hard to create entangled photon pairs from quantum dots. In the spirit of
quantum engineering we propose a simple optical circuit which can, in the right
circumstances, make frequency distinguishable photons frequency
indistinguishable. Our circuit can supply a downstream solution to both
problems, opening up a large window of allowed frequency mismatches between
physical mechanisms. The only components used are spectrum analysers/prisms and
an Acousto-Optic Modulator. We also note that an Acousto-Optic Modulator can be
used to obtain Hong-Ou-Mandel two photon interference effects from the
frequency distinguishable photons generated by distinct sources.Comment: 4 pages, 4 figure
Population inversion of driven two-level systems in a structureless bath
We derive a master equation for a driven double-dot damped by an unstructured
phonon bath, and calculate the spectral density. We find that bath mediated
photon absorption is important at relatively strong driving, and may even
dominate the dynamics, inducing population inversion of the double dot system.
This phenomenon is consistent with recent experimental observations.Comment: 4 Pages, Added Reference [30] to Dykman, 1979, available at
http://www.pa.msu.edu/people/dykman/pub/Sov.J.LowTemp.Phys_5.pd
The effect of noise correlations on randomized benchmarking
Among the most popular and well studied quantum characterization,
verification and validation techniques is randomized benchmarking (RB), an
important statistical tool used to characterize the performance of physical
logic operations useful in quantum information processing. In this work we
provide a detailed mathematical treatment of the effect of temporal noise
correlations on the outcomes of RB protocols. We provide a fully analytic
framework capturing the accumulation of error in RB expressed in terms of a
three-dimensional random walk in "Pauli space." Using this framework we derive
the probability density function describing RB outcomes (averaged over noise)
for both Markovian and correlated errors, which we show is generally described
by a gamma distribution with shape and scale parameters depending on the
correlation structure. Long temporal correlations impart large nonvanishing
variance and skew in the distribution towards high-fidelity outcomes --
consistent with existing experimental data -- highlighting potential
finite-sampling pitfalls and the divergence of the mean RB outcome from
worst-case errors in the presence of noise correlations. We use the
Filter-transfer function formalism to reveal the underlying reason for these
differences in terms of effective coherent averaging of correlated errors in
certain random sequences. We conclude by commenting on the impact of these
calculations on the utility of single-metric approaches to quantum
characterization, verification, and validation.Comment: Updated and expanded to include full derivation. Related papers
available from http://www.physics.usyd.edu.au/~mbiercuk/Publications.htm
Loops and Strings in a Superconducting Lattice Gauge Simulator
We propose an architecture for an analog quantum simulator of
electromagnetism in 2+1 dimensions, based on an array of superconducting
fluxonium devices. The encoding is in the integer (spin-1 representation of the
quantum link model formulation of compact U(1) lattice gauge theory. We show
how to engineer Gauss' law via an ancilla mediated gadget construction, and how
to tune between the strongly coupled and intermediately coupled regimes. The
witnesses to the existence of the predicted confining phase of the model are
provided by nonlocal order parameters from Wilson loops and disorder parameters
from 't Hooft strings. We show how to construct such operators in this model
and how to measure them nondestructively via dispersive coupling of the
fluxonium islands to a microwave cavity mode. Numerical evidence is found for
the existence of the confined phase in the ground state of the simulation
Hamiltonian on a ladder geometry.Comment: 17 pages, 5 figures. Published versio
Spontaneous Relaxation of a Charge Qubit under Electrical Measurement
In this work we first derive a generalized conditional master equation for
quantum measurement by a mesoscopic detector, then study the readout
characteristics of qubit measurement where a number of new features are found.
The work would in particular highlight the qubit spontaneous relaxation effect
induced by the measurement itself rather than an external thermal bath.Comment: 4 pages, 2 figures; an error in Eq.(8) is correcte
Phonon number quantum jumps in an optomechanical system
We describe an optomechanical system in which the mean phonon number of a
single mechanical mode conditionally displaces the amplitude of the optical
field. Using homodyne detection of the output field we establish the conditions
under which phonon number quantum jumps can be inferred from the measurement
record: both the cavity damping rate and the measurement rate of the phonon
number must be much greater than the thermalization rate of the mechanical
mode. We present simulations of the conditional dynamics of the measured system
using the stochastic master equation. In the good-measurement limit, the
conditional evolution of the mean phonon number shows quantum jumps as phonons
enter and exit the mechanical resonator via the bath.Comment: 13 pages, 4 figures. minor revisions since first versio
Experimental quantum verification in the presence of temporally correlated noise
Growth in the complexity and capabilities of quantum information hardware
mandates access to practical techniques for performance verification that
function under realistic laboratory conditions. Here we experimentally
characterise the impact of common temporally correlated noise processes on both
randomised benchmarking (RB) and gate-set tomography (GST). We study these
using an analytic toolkit based on a formalism mapping noise to errors for
arbitrary sequences of unitary operations. This analysis highlights the role of
sequence structure in enhancing or suppressing the sensitivity of quantum
verification protocols to either slowly or rapidly varying noise, which we
treat in the limiting cases of quasi-DC miscalibration and white noise power
spectra. We perform experiments with a single trapped Yb ion as a
qubit and inject engineered noise () to probe protocol
performance. Experiments on RB validate predictions that the distribution of
measured fidelities over sequences is described by a gamma distribution varying
between approximately Gaussian for rapidly varying noise, and a broad, highly
skewed distribution for the slowly varying case. Similarly we find a strong
gate set dependence of GST in the presence of correlated errors, leading to
significant deviations between estimated and calculated diamond distances in
the presence of correlated errors. Numerical simulations demonstrate
that expansion of the gate set to include negative rotations can suppress these
discrepancies and increase reported diamond distances by orders of magnitude
for the same error processes. Similar effects do not occur for correlated
or errors or rapidly varying noise processes,
highlighting the critical interplay of selected gate set and the gauge
optimisation process on the meaning of the reported diamond norm in correlated
noise environments.Comment: Expanded and updated analysis of GST, including detailed examination
of the role of gauge optimization in GST. Full GST data sets and
supplementary information available on request from the authors. Related
results available from
http://www.physics.usyd.edu.au/~mbiercuk/Publications.htm
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