3,838 research outputs found
Reaching the continuum limit in lattice gauge theory - without a computer
The scaling slope of the anti-symmetric mass gap M of compact U(1)_{2+1}
lattice gauge theory is obtained analytically in the Hamiltonian formalism
using the plaquette expansion. Based on the first four moments of the
Hamiltonian with respect to a one-plaquette mean field state the results
demonstrate clear scaling of M at and beyond the transition from strong to weak
coupling. The scaling parameters determined agree well with the range of
numerical determinations available.Comment: 4 pages, 2 figure
Optimising Matrix Product State Simulations of Shor's Algorithm
We detail techniques to optimise high-level classical simulations of Shor's
quantum factoring algorithm. Chief among these is to examine the entangling
properties of the circuit and to effectively map it across the one-dimensional
structure of a matrix product state. Compared to previous approaches whose
space requirements depend on , the solution to the underlying order-finding
problem of Shor's algorithm, our approach depends on its factors. We performed
a matrix product state simulation of a 60-qubit instance of Shor's algorithm
that would otherwise be infeasible to complete without an optimised
entanglement mapping.Comment: 8 pages, 2 figures, 2 tables. v2 using PDFLaTeX compiler. v3 to
include extra references. v4 for publication in Quantu
A multiplexed single electron transistor for application in scalable solid-state quantum computing
Single Electron Transistors (SETs) are nanoscale electrometers of
unprecedented sensitivity, and as such have been proposed as read-out devices
in a number of quantum computer architectures. We show that the functionality
of a standard SET can be multiplexed so as to operate as both read-out device
and control gate for a solid-state qubit. Multiplexing in this way may be
critical in lowering overall gate densities in scalable quantum computer
architectures.Comment: 3 pages 3 figure
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