Quantum 9, 1817 (2025). https://doi.org/10.22331/q-2025-07-30-1817 We propose several algorithms for learning unitary operators from quantum statistical queries with respect to their Choi-Jamiolkowski state. Quantum statistical queries capture the capabilities of a learner with limited quantum […]
Quantum 9, 1816 (2025). https://doi.org/10.22331/q-2025-07-29-1816 We introduce “dual-unitary shadow tomography” (DUST), a classical shadow tomography protocol based on dual-unitary brick-wall circuits. To quantify the performance of DUST, we study operator spreading and Pauli weight dynamics […]
Quantum 9, 1815 (2025). https://doi.org/10.22331/q-2025-07-29-1815 In the paradigmatic example of quantum measurements, whenever one measures a system which starts in a superposition of two states of a conserved quantity, it jumps to one of the […]
Quantum 9, 1814 (2025). https://doi.org/10.22331/q-2025-07-29-1814 We consider finite-dimensional many-body quantum systems described by time-independent Hamiltonians and Markovian master equations, and present a systematic method for constructing smaller-dimensional, reduced models that $exactly$ reproduce the time evolution […]
Quantum 9, 1813 (2025). https://doi.org/10.22331/q-2025-07-29-1813 Arunachalam and de Wolf (2018) [1] showed that the sample complexity of quantum batch learning of boolean functions, in the realizable and agnostic settings, has the $textit{same form and order}$ […]
Quantum 9, 1812 (2025). https://doi.org/10.22331/q-2025-07-23-1812 Accurately estimating the properties of quantum systems is a central challenge in quantum computing and quantum information. We propose a method to obtain unbiased estimators of multiple observables with low […]
Quantum 9, 1811 (2025). https://doi.org/10.22331/q-2025-07-23-1811 We derive a class of cellular automata for the Schrödinger Hamiltonian, including scalar and vector potentials. It is based on a multi-split of the Hamiltonian, resulting in a multi-step unitary […]
Quantum 9, 1810 (2025). https://doi.org/10.22331/q-2025-07-23-1810 Bosonic codes encode quantum information into a single infinite-dimensional physical system endowed with error correction capabilities. This reduces the need for complex management of many physical constituents compared with standard […]
Quantum 9, 1809 (2025). https://doi.org/10.22331/q-2025-07-23-1809 We provide a graphical method to describe and analyze non-Gaussian quantum states using a hypergraph framework. These states are pivotal resources for quantum computing, communication, and metrology, but their characterization […]
Quantum 9, 1808 (2025). https://doi.org/10.22331/q-2025-07-22-1808 Discrete models of holographic dualities, typically modeled by tensor networks on hyperbolic tilings, produce quantum states with a characteristic quasiperiodic disorder not present in continuum holography. In this work, we […]
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