212 citations · 441 across the 13 of their papers we have counts for
13 papers
Quantum Approximate Optimisation for Not-All-Equal SAT
Andrew El-Kadi, Roberto Bondesan
Establishing quantum advantage for variational quantum algorithms is an important direction in quantum computing. In this work, we apply the Quantum Approximate Optimisation Algori…
Effective Edge State Dynamics in the Fractional Quantum Hall Effect
Richard Fern, Roberto Bondesan, Steven H. Simon
We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum…
On the Structure of Edge State Inner Products in the Fractional Quantum Hall Effect
Richard Fern, Roberto Bondesan, Steven H. Simon
We analyse the inner products of edge state wavefunctions in the fractional quantum Hall effect, specifically for the Laughlin and Moore-Read states. We use an effective descriptio…
Gaussian free fields at the integer quantum Hall plateau transition
R. Bondesan, D. Wieczorek, M. R. Zirnbauer
In this work we put forward an effective Gaussian free field description of critical wavefunctions at the transition between plateaus of the integer quantum Hall effect. To this en…
Chiral SU(2)_k currents as local operators in vertex models and spin chains
R. Bondesan, J. Dubail, A. Faribault +1
The six-vertex model and its spin- descendants obtained from the fusion procedure are well-known lattice discretizations of the SU WZW models, with . It is shown th…
Infinite Matrix Product States for long range SU(N) spin models
Roberto Bondesan, Thomas Quella
We construct 1D and 2D long-range SU(N) spin models as parent Hamiltonians associated with infinite matrix product states. The latter are constructed from correlators of primary fi…
Pure scaling operators at the integer quantum Hall plateau transition
R. Bondesan, D. Wieczorek, M. R. Zirnbauer
Stationary wave functions at the transition between plateaus of the integer quantum Hall effect are known to exhibit multi-fractal statistics. Here we explore this critical behavio…
Topological and symmetry broken phases of Z_N parafermions in one dimension
Roberto Bondesan, Thomas Quella
We classify the gapped phases of Z_N parafermions in one dimension and construct a representative of each phase. Even in the absence of additional symmetries besides parafermionic…
Rectangular amplitudes, conformal blocks, and applications to loop models
Roberto Bondesan, Jesper Lykke Jacobsen, Hubert Saleur
In this paper we continue the investigation of partition functions of critical systems on a rectangle initiated in [R. Bondesan et al, Nucl.Phys.B862:553-575,2012]. Here we develop…
Conformal boundary state for the rectangular geometry
Roberto Bondesan, Jerome Dubail, Jesper Lykke Jacobsen +1
We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1+1d open system. We focus on the cas…
Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels
Roberto Bondesan, Ilya A. Gruzberg, Jesper Lykke Jacobsen +2
Critical properties of quantum Hall systems are affected by the presence of extra edge channels - present, in particular, at higher plateau transitions. We study this phenomenon fo…
Edge states and conformal boundary conditions in super spin chains and super sigma models
Roberto Bondesan, Jesper Lykke Jacobsen, Hubert Saleur
The sigma models on projective superspaces CP^{N+M-1|N} with topological angle theta=pi mod 2pi flow to non-unitary, logarithmic conformal field theories in the low-energy limit. I…
Exact exponents for the spin quantum Hall transition
Ilya A. Gruzberg, Andreas W. W. Ludwig, N. Read
We consider the spin quantum Hall transition which may occur in disordered superconductors with unbroken SU(2) spin-rotation symmetry but broken time-reversal symmetry. Using super…