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The most efficient known quantum circuits for preparing unitary coupled cluster states and applying Trotter steps of the arbitrary basis electronic structure Hamiltonian involve interleaved sequences of fermionic Gaussian circuits and Ising…

Quantum Physics · Physics 2021-09-13 Nicholas C. Rubin , Joonho Lee , Ryan Babbush

Tensor network states, and in particular projected entangled pair states, play an important role in the description of strongly correlated quantum lattice systems. They do not only serve as variational states in numerical simulation…

Quantum Physics · Physics 2017-06-27 C. Wille , O. Buerschaper , J. Eisert

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the over-complicated structure of, as well as interactions between, real materials, a faithful quantum…

Quantum Physics · Physics 2021-04-19 Jia Liu , Jun-Yi Cao , Gang Chen , Zheng-Yuan Xue

We investigate a square-lattice architecture of superconducting transmon qubits with inter-qubit interactions mediated by inductive couplers. Therein, the inductive couling between the qubit and couplers is suggested to be designed into the…

Quantum Physics · Physics 2025-06-24 Yan-Jun Zhao , Yu-Qi Wang , Yang Xue , Xun-Wei Xu , Yan-Yang Zhang , Wu-Ming Liu , Yu-xi Liu

Recent studies have shown that topological models with interacting anyonic quasiparticles can be used as self-correcting quantum memories. Here we study the behaviour of these models at thermal equilibrium. It is found that the interactions…

Quantum Physics · Physics 2014-04-17 James R. Wootton

Nonpairwise multi-qubit interactions present a useful resource for quantum information processors. Their implementation would facilitate more efficient quantum simulations of molecules and combinatorial optimization problems, and they could…

We present and implement an efficient variational method to simulate two-dimensional finite size fermionic quantum systems by fermionic projected entangled pair states. The approach differs from the original one due to the fact that there…

Strongly Correlated Electrons · Physics 2010-06-15 Iztok Pizorn , Frank Verstraete

Building a quantum computer is a daunting challenge since it requires good control but also good isolation from the environment to minimize decoherence. It is therefore important to realize quantum gates efficiently, using as few operations…

Quantum Physics · Physics 2019-10-28 T. Bækkegaard , L. B. Kristensen , N. J. S. Loft , C. K. Andersen , D. Petrosyan , N. T. Zinner

In recent years, fermionic topological phases of quantum matter has attracted a lot of attention. In a pioneer work by Gu, Wang and Wen, the concept of equivalence classes of fermionic local unitary(FLU) transformations was proposed to…

Strongly Correlated Electrons · Physics 2024-10-28 Jing-Ren Zhou , Qing-Rui Wang , Zheng-Cheng Gu

In the paper a generalization of the (1+1)-dimensional model by Chodos et al [Phys. Rev. D61, 045011 (2000)] has been performed to the case of (2+1)-dimensional spacetime. The model includes four-fermion interaction both in the…

High Energy Physics - Theory · Physics 2015-06-11 K. G. Klimenko , R. N. Zhokhov , V. Ch. Zhukovsky

We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles,…

We propose to use residual parafermions of the overscreened Kondo effect for topological quantum computation. A superconducting proximity gap of $\Delta<T_K$ can be utilized to isolate the parafermion from the continuum of excitations and…

Strongly Correlated Electrons · Physics 2020-06-19 Yashar Komijani

Developing a gate-tunable, scalable, and topologically-protectable supercurrent qubit and integrating it into a quantum circuit are crucial for applications in the fields of quantum information technology and topological phenomena. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-05-06 Hong-Seok Kim , Yong-Joo Doh

We consider a chain of spinful fermions with nearest neighbor hopping in the presence of a $XY$ antiferromagnetic interaction. The $XY$ term is mapped onto a Kitaev chain at half-filling such that displays a bosonic zero mode topologically…

Quantum Physics · Physics 2021-05-11 Gianluca Francica

Two-dimensional topological insulators possess conducting edge states at their boundary while being insulating in the bulk. The detection of edge states remains an open question in ultracold atom setups. We propose a configuration to…

Quantum Gases · Physics 2020-06-30 Bernhard Irsigler , Jun-Hui Zheng , Walter Hofstetter

We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse into the trivial (`identity') channel, similar to the…

Strongly Correlated Electrons · Physics 2007-05-23 Adrian Feiguin , Simon Trebst , Andreas W. W. Ludwig , Matthias Troyer , Alexei Kitaev , Zhenghan Wang , Michael H. Freedman

Circuit quantum electrodynamics systems are typically built from resonators and two-level artificial atoms, but the use of multi-level artificial atoms instead can enable promising applications in quantum technology. Here we present an…

Quantum Physics · Physics 2015-08-05 É. Dumur , B. Küng , A. K. Feofanov , T. Weissl , N. Roch , C. Naud , W. Guichard , O. Buisson

The ability to realize high-fidelity quantum communication is one of the many facets required to build generic quantum computing devices. In addition to quantum processing, sensing, and storage, transferring the resulting quantum states…

We study quantum Hall states for two-component particles (hardcore bosons and fermions) loading in topological lattice models. By tuning the interplay of interspecies and intraspecies interactions, we demonstrate that two-component…

Strongly Correlated Electrons · Physics 2017-03-29 Tian-Sheng Zeng , W. Zhu , D. N. Sheng

Indistinguishable particles in two dimensions can be characterized by anyonic quantum statistics more general than those of bosons or fermions. Such anyons emerge as quasiparticles in fractional quantum Hall states and certain frustrated…

Strongly Correlated Electrons · Physics 2009-11-02 Charlotte Gils , Simon Trebst , Alexei Kitaev , Andreas W. W. Ludwig , Matthias Troyer , Zhenghan Wang