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Clifford-deformed surface codes
Various realizations of Kitaev's surface code perform surprisingly well for biased Pauli noise.
Attracted by these potential gains, we study the performance of Clifford-deformed surface …
Attracted by these potential gains, we study the performance of Clifford-deformed surface …
Locations of multicritical points for spin glasses on regular lattices
M Ohzeki - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We present an analysis leading to precise locations of the multicritical points for spin glasses
on regular lattices. The conventional technique for determination of the location of the …
on regular lattices. The conventional technique for determination of the location of the …
Odd -state clock spin-glass models in three dimensions, asymmetric phase diagrams, and multiple algebraically ordered phases
Distinctive orderings and phase diagram structures are found, from renormalization-group
theory, for odd q-state clock spin-glass models in d= 3 dimensions. These models exhibit …
theory, for odd q-state clock spin-glass models in d= 3 dimensions. These models exhibit …
Lower-critical spin-glass dimension from 23 sequenced hierarchical models
The lower-critical dimension for the existence of the Ising spin-glass phase is calculated,
numerically exactly, as d L= 2.520 for a family of hierarchical lattices, from an essentially …
numerically exactly, as d L= 2.520 for a family of hierarchical lattices, from an essentially …
Chiral Potts spin glass in and 3 dimensions
The chiral spin-glass Potts system with q= 3 states is studied in d= 2 and 3 spatial
dimensions by renormalization-group theory and the global phase diagrams are calculated …
dimensions by renormalization-group theory and the global phase diagrams are calculated …
Accuracy thresholds of topological color codes on the hexagonal and square-octagonal lattices
M Ohzeki - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
Accuracy thresholds of quantum error correcting codes, which exploit topological properties
of systems, defined on two different arrangements of qubits are predicted. We study the …
of systems, defined on two different arrangements of qubits are predicted. We study the …
Renormalization group computation of the critical exponents of hierarchical spin glasses
The large scale behavior of the simplest non-mean-field spin-glass system is analyzed, and
the critical exponent related to the divergence of the correlation length is computed at two …
the critical exponent related to the divergence of the correlation length is computed at two …
Critical study of hierarchical lattice renormalization group in magnetic ordered and quenched disordered systems: Ising and Blume–Emery–Griffiths models
Renormalization group based on the Migdal–Kadanoff bond removal approach is often
considered a simple and valuable tool to understand the critical behavior of complicated …
considered a simple and valuable tool to understand the critical behavior of complicated …
Phase transitions between different spin-glass phases and between different chaoses in quenched random chiral systems
The left-right chiral and ferromagnetic-antiferromagnetic double-spin-glass clock model, with
the crucially even number of states q= 4 and in three dimensions d= 3, has been studied by …
the crucially even number of states q= 4 and in three dimensions d= 3, has been studied by …
Devil's staircase continuum in the chiral clock spin glass with competing ferromagnetic-antiferromagnetic and left-right chiral interactions
The chiral clock spin-glass model with q= 5 states, with both competing ferromagnetic-
antiferromagnetic and left-right chiral frustrations, is studied in d= 3 spatial dimensions by …
antiferromagnetic and left-right chiral frustrations, is studied in d= 3 spatial dimensions by …