840 research outputs found
Fault tolerant quantum computation with very high threshold for loss errors
Many proposals for fault tolerant quantum computation (FTQC) suffer
detectable loss processes. Here we show that topological FTQC schemes, which
are known to have high error thresholds, are also extremely robust against
losses. We demonstrate that these schemes tolerate loss rates up to 24.9%,
determined by bond percolation on a cubic lattice. Our numerical results show
that these schemes retain good performance when loss and computational errors
are simultaneously present.Comment: 4 pages, comments still very welcome. v2 is a reasonable
approximation to the published versio
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.
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
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
Fully fault tolerant quantum computation with non-deterministic gates
In certain approaches to quantum computing the operations between qubits are
non-deterministic and likely to fail. For example, a distributed quantum
processor would achieve scalability by networking together many small
components; operations between components should assumed to be failure prone.
In the logical limit of this architecture each component contains only one
qubit. Here we derive thresholds for fault tolerant quantum computation under
such extreme paradigms. We find that computation is supported for remarkably
high failure rates (exceeding 90%) providing that failures are heralded,
meanwhile the rate of unknown errors should not exceed 2 in 10^4 operations.Comment: 5 pages, 3 fig
- …