Quantum 10, 2170 (2026). https://doi.org/10.22331/q-2026-07-22-2170 Quantum Error Correction (QEC) is regarded as the most promising path to quantum advantage. The success of QEC relies on achieving quantum gate fidelities below the error threshold of the […]
Quantum 10, 2169 (2026). https://doi.org/10.22331/q-2026-07-22-2169 Non-commutative polynomial optimization (NPO) problems seek to minimize the state average of a polynomial of some operator variables, subject to polynomial constraints, over all states and operators, as well as […]
Quantum 10, 2168 (2026). https://doi.org/10.22331/q-2026-07-22-2168 How many $T$ gates are needed to approximate an arbitrary $n$-qubit quantum state to within error $varepsilon$? Improving prior work of Low, Kliuchnikov, and Schaeffer, we show that the optimal […]
Quantum 10, 2167 (2026). https://doi.org/10.22331/q-2026-07-20-2167 Quantum Zeno dragging enables the preparation of common eigenstates of a set of observables by frequent measurement and adiabatic-like modulation of the measurement basis. In this work, we present a […]
Quantum 10, 2166 (2026). https://doi.org/10.22331/q-2026-07-20-2166 Noisy intermediate-scale quantum (NISQ) devices pave the way for implementing quantum algorithms that offer quantum advantages over their classical counterparts. Due to the intrinsic noise and decoherence in the physical […]
Quantum 10, 2165 (2026). https://doi.org/10.22331/q-2026-07-18-2165 In this work, we study the complexity of graph-state preparation in a general model of quantum algorithms that allows measurements in the computational basis, single-qubit Clifford operations, and two-qubit Clifford […]
Quantum 10, 2164 (2026). https://doi.org/10.22331/q-2026-07-18-2164 Quantum many-body scars (QMBS) serve as important examples of ergodicity-breaking phenomena in quantum many-body systems. Despite recent extensive studies, exact QMBS are rare in dimensions higher than one. In this […]
Quantum 10, 2163 (2026). https://doi.org/10.22331/q-2026-07-16-2163 We introduce a new characterisation of determinism in Measurement-Based Quantum Computing (MBQC). The one-way model consists in performing local measurements over a large entangled state represented by a graph. The […]
Quantum 10, 2162 (2026). https://doi.org/10.22331/q-2026-07-15-2162 We present a two-step protocol for quantum measurement tomography that is light on classical co-processing cost and still achieves optimal sample complexity. Given measurement data from a known probe state […]
Quantum 10, 2161 (2026). https://doi.org/10.22331/q-2026-07-15-2161 The MPC-in-the-head technique (Ishai et al., STOC 2007) is a celebrated method to build zero-knowledge protocols with desirable theoretical properties and high practical efficiency. This technique has generated a large […]
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