From the 2 of 57 linked papers with an AI index.
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Quantum circuit algorithm for topological invariants of second order topological many-body quantum magnets
Sebastián DomÃnguez-Calderón, Marcel Niedermeier, Jose L. Lado +1
The paper presents a quantum circuit algorithm that computes many‑body topological invariants for second‑order topological quantum magnets using adiabatic evolution on a quantum co…
Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
Marcel Niedermeier, Adrien Moulinas, Thibaud Louvet +2
Solving partial differential equations of highly featured problems represents a formidable challenge, where reaching high precision across multiple length scales can require a proh…
Quantum computing topological invariants of two-dimensional quantum matter
Marcel Niedermeier, Marc Nairn, Christian Flindt +1
Quantum algorithms provide a potential strategy for solving computational problems that are intractable by classical means. Computing the topological invariants of topological matt…
Many-body Liouvillian dynamics with a non-Hermitian tensor-network kernel polynomial algorithm
Guangze Chen, Jose L. Lado, Fei Song
Understanding the dynamics of open quantum many-body systems is a major problem in quantum matter. Specifically, efficiently solving the spectrum of the Liouvillian superoperator g…
Simulating the quantum Fourier transform, Grover's algorithm, and the quantum counting algorithm with limited entanglement using tensor-networks
Marcel Niedermeier, Jose L. Lado, Christian Flindt
Quantum algorithms reformulate computational problems as quantum evolutions in a large Hilbert space. Most quantum algorithms assume that the time-evolution is perfectly unitary an…
Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
Pei-Xin Shen, Zhide Lu, Jose L. Lado +1
Persistent currents circulate continuously without requiring external power sources. Here, we extend their theory to include dissipation within the framework of non-Hermitian quant…