23 research outputs found
Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
We report the experimental realization and characterization of one 60-mode
copy, and of two 30-mode copies, of a dual-rail quantum-wire cluster state in
the quantum optical frequency comb of a bimodally pumped optical parametric
oscillator. This is the largest entangled system ever created whose subsystems
are all available simultaneously. The entanglement proceeds from the coherent
concatenation of a multitude of EPR pairs by a single beam splitter, a
procedure which is also a building block for the realization of
hypercubic-lattice cluster states for universal quantum computing.Comment: Accepted by PRL. 5 pages, 5 figures + 14 pages, 9 figures of
supplemental material. Ver3: better experimental dat
Entanglement entropies in free fermion gases for arbitrary dimension
We study the entanglement entropy of connected bipartitions in free fermion
gases of N particles in arbitrary dimension d. We show that the von Neumann and
Renyi entanglement entropies grow asymptotically as N^(1-1/d) ln N, with a
prefactor that is analytically computed using the Widom conjecture both for
periodic and open boundary conditions. The logarithmic correction to the
power-law behavior is related to the area-law violation in lattice free
fermions. These asymptotic large-N behaviors are checked against exact
numerical calculations for N-particle systems.Comment: 6 pages, 9 fig
Entanglement entropies in free fermion gases for arbitrary dimension
We study the entanglement entropy of connected bipartitions in free fermion
gases of N particles in arbitrary dimension d. We show that the von Neumann and
Renyi entanglement entropies grow asymptotically as N^(1-1/d) ln N, with a
prefactor that is analytically computed using the Widom conjecture both for
periodic and open boundary conditions. The logarithmic correction to the
power-law behavior is related to the area-law violation in lattice free
fermions. These asymptotic large-N behaviors are checked against exact
numerical calculations for N-particle systems.Comment: 6 pages, 9 fig
Deterministic generation of a two-dimensional cluster state
Measurement-based quantum computation offers exponential computational
speed-up via simple measurements on a large entangled cluster state. We propose
and demonstrate a scalable scheme for the generation of photonic cluster states
suitable for universal measurement-based quantum computation. We exploit
temporal multiplexing of squeezed light modes, delay loops, and beam-splitter
transformations to deterministically generate a cylindrical cluster state with
a two-dimensional (2D) topological structure as required for universal quantum
information processing. The generated state consists of more than 30000
entangled modes arranged in a cylindrical lattice with 24 modes on the
circumference, defining the input register, and a length of 1250 modes,
defining the computation depth. Our demonstrated source of 2D cluster states
can be combined with quantum error correction to enable fault-tolerant quantum
computation
Passive interferometric symmetries of multimode Gaussian pure states
As large-scale multimode Gaussian states begin to become accessible in the
laboratory, their representation and analysis become a useful topic of research
in their own right. The graphical calculus for Gaussian pure states provides
powerful tools for their representation, while this work presents a useful tool
for their analysis: passive interferometric (i.e., number-conserving)
symmetries. Here we show that these symmetries of multimode Gaussian states
simplify calculations in measurement-based quantum computing and provide
constructive tools for engineering large-scale harmonic systems with specific
physical properties, and we provide a general mathematical framework for
deriving them. Such symmetries are generated by linear combinations of
operators expressed in the Schwinger representation of U(2), called nullifiers
because the Gaussian state in question is a zero eigenstate of them. This
general framework is shown to have applications in the noise analysis of
continuous-various cluster states and is expected to have additional
applications in future work with large-scale multimode Gaussian states.Comment: v3: shorter, included additional applications, 11 pages, 7 figures.
v2: minor content revisions, additional figures and explanation, 23 pages, 18
figures. v1: 22 pages, 16 figure
Topological Entanglement Entropy of Fracton Stabilizer Codes
Entanglement entropy provides a powerful characterization of two-dimensional
gapped topological phases of quantum matter, intimately tied to their
description by topological quantum field theories (TQFTs). Fracton topological
orders are three-dimensional gapped topologically ordered states of matter, but
the existence of a TQFT description for these phases remains an open question.
We show that three-dimensional fracton phases are nevertheless characterized,
at least partially, by universal structure in the entanglement entropy of their
ground state wave functions. We explicitly compute the entanglement entropy for
two archetypal fracton models --- the `X-cube model' and `Haah's code' --- and
demonstrate the existence of a topological contribution that scales linearly in
subsystem size. We show via Schrieffer-Wolff transformations that the
topological entanglement of fracton models is robust against arbitrary local
perturbations of the Hamiltonian. Finally, we argue that these results may be
extended to characterize localization-protected fracton topological order in
excited states of disordered fracton models.Comment: published versio
Recoverable Information and Emergent Conservation Laws in Fracton Stabilizer Codes
We introduce a new quantity, that we term recoverable information, defined
for stabilizer Hamiltonians. For such models, the recoverable information
provides a measure of the topological information, as well as a physical
interpretation, which is complementary to topological entanglement entropy. We
discuss three different ways to calculate the recoverable information, and
prove their equivalence. To demonstrate its utility, we compute recoverable
information for fracton models using all three methods where appropriate. From
the recoverable information, we deduce the existence of emergent
Gauss-law type constraints, which in turn imply emergent conservation
laws for point-like quasiparticle excitations of an underlying topologically
ordered phase.Comment: Added additional cluster model calculation (SPT example) and a new
section discussing the general benefits of recoverable informatio