Clifford-deformed surface codes

A Dua, A Kubica, L Jiang, ST Flammia, MJ Gullans - PRX Quantum, 2024 - APS
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 …

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 …

Odd -state clock spin-glass models in three dimensions, asymmetric phase diagrams, and multiple algebraically ordered phases

E Ilker, AN Berker - Physical Review E, 2014 - APS
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 …

Lower-critical spin-glass dimension from 23 sequenced hierarchical models

M Demirtaş, A Tuncer, AN Berker - Physical Review E, 2015 - APS
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 …

Chiral Potts spin glass in and 3 dimensions

T Çağlar, AN Berker - Physical Review E, 2016 - APS
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 …

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 …

Renormalization group computation of the critical exponents of hierarchical spin glasses

M Castellana, G Parisi - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
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 …

Phase transitions between different spin-glass phases and between different chaoses in quenched random chiral systems

T Çağlar, AN Berker - Physical Review E, 2017 - APS
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 …

Devil's staircase continuum in the chiral clock spin glass with competing ferromagnetic-antiferromagnetic and left-right chiral interactions

T Çağlar, AN Berker - Physical Review E, 2017 - APS
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 …