Quantum 8, 1475 (2024). https://doi.org/10.22331/q-2024-09-17-1475 We introduce a novel method of efficiently simulating the non-equilibrium steady state of large many-body open quantum systems with highly non-local interactions, based on a variational Monte Carlo optimization of […]
Quantum 8, 1474 (2024). https://doi.org/10.22331/q-2024-09-17-1474 The Schwinger model is one of the simplest gauge theories. It is known that a topological term of the model leads to the infamous sign problem in the classical Monte […]
Quantum 8, 1473 (2024). https://doi.org/10.22331/q-2024-09-12-1473 Identical quantum particles exhibit only two types of statistics: bosonic and fermionic. Theoretically, this restriction is commonly established through the symmetrization postulate or (anti)commutation constraints imposed on the algebra of […]
Quantum 8, 1472 (2024). https://doi.org/10.22331/q-2024-09-12-1472 Nielsen’s approach to quantum state complexity relates the minimal number of quantum gates required to prepare a state to the length of geodesics computed with a certain norm on the […]
Quantum 8, 1471 (2024). https://doi.org/10.22331/q-2024-09-12-1471 The problem of efficient quantum state learning, also called shadow tomography, aims to comprehend an unknown $d$-dimensional quantum state through POVMs. Yet, these states are rarely static; they evolve due […]
Quantum 8, 1470 (2024). https://doi.org/10.22331/q-2024-09-11-1470 We consider models of quantum computation that involve operations performed on some fixed resourceful quantum state. Examples that fit this paradigm include magic state injection and measurement-based approaches. We introduce […]
Quantum 8, 1469 (2024). https://doi.org/10.22331/q-2024-09-11-1469 Here, we investigate the fractal-lattice Hubbard model using various numerical methods: exact diagonalization, the self-consistent diagonalization of a (mean-field) Hartree-Fock Hamiltonian and state-of-the-art Auxiliary-Field Quantum Monte Carlo. We focus on […]
Quantum 8, 1468 (2024). https://doi.org/10.22331/q-2024-09-11-1468 The code-capacity threshold of a scalable quantum error correcting stabilizer code can be expressed as a thermodynamic phase transition of a corresponding random-bond Ising model. Here we study the XY […]
Quantum 8, 1467 (2024). https://doi.org/10.22331/q-2024-09-11-1467 Classical shadow tomography serves as a potent tool for extracting numerous properties from quantum many-body systems with minimal measurements. Nevertheless, prevailing methods yielding optimal performance for few-body operators necessitate the […]
Quantum 8, 1466 (2024). https://doi.org/10.22331/q-2024-09-09-1466 In lumped-element electrical circuit theory, the problem of solving Maxwell’s equations in the presence of media is reduced to two sets of equations, the constitutive equations encapsulating local geometry and […]
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