Quantum 8, 1477 (2024). https://doi.org/10.22331/q-2024-09-19-1477 Quantum Krylov subspace diagonalization (QKSD) is an emerging method used in place of quantum phase estimation in the early fault-tolerant era, where limited quantum circuit depth is available. In contrast […]
Quantum 8, 1476 (2024). https://doi.org/10.22331/q-2024-09-19-1476 In this paper, we propose a novel bipartite entanglement purification protocol built upon hashing and upon the guessing random additive noise decoding (GRAND) approach recently devised for classical error correction […]
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 […]
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