Quantum 9, 1954 (2025). https://doi.org/10.22331/q-2025-12-23-1954 Quantum Signal Processing (QSP), a framework for implementing matrix-valued polynomials, is a fundamental primitive in various quantum algorithms. Despite its versatility, a potentially underappreciated challenge is that all systematic protocols […]
Quantum 9, 1953 (2025). https://doi.org/10.22331/q-2025-12-22-1953 We describe and analyze LOBE (Ladder Operator Block-Encoding), a framework for block-encoding ladder operators that act upon fermionic and bosonic modes. In this framework, we achieve efficient block-encodings by applying […]
Quantum 9, 1952 (2025). https://doi.org/10.22331/q-2025-12-18-1952 Current quantum technologies are at the cusp of becoming useful, but still face formidable obstacles such as noise. Noise severely limits the ability to scale quantum devices to the point […]
Quantum 9, 1951 (2025). https://doi.org/10.22331/q-2025-12-18-1951 We present a novel approach to quantizing Markov chains. The approach is based on the Markov chain coupling method, which is frequently used to prove fast mixing. Given a particular […]
Quantum 9, 1950 (2025). https://doi.org/10.22331/q-2025-12-16-1950 We analyze the performance of quantum stabilizer codes, one of the most important classes for practical implementations, on both symmetric and asymmetric quantum channels. To this aim, we first derive […]
Quantum 9, 1949 (2025). https://doi.org/10.22331/q-2025-12-15-1949 The eigenstate thermalization hypothesis (ETH) is the leading interpretation in our current understanding of quantum thermalization. Recent results uncovered strong connections between quantum correlations in thermalizing systems and the structure […]
Quantum 9, 1948 (2025). https://doi.org/10.22331/q-2025-12-15-1948 Building large-scale quantum communication networks has its unique challenges. Here, we demonstrate that a network-wide synergistic usage of quantum memories distributed in a quantum communication network offers a fundamental advantage. […]
Quantum 9, 1947 (2025). https://doi.org/10.22331/q-2025-12-15-1947 We propose an algebraic geometry-inspired approach for constructing entangled subspaces within the Hilbert space of a multipartite quantum system. Specifically, our method employs a modified Veronese embedding, restricted to the […]
Quantum 9, 1946 (2025). https://doi.org/10.22331/q-2025-12-15-1946 Effective Hamiltonian calculations for large quantum systems can be both analytically intractable and numerically expensive using standard techniques. In this manuscript, we present numerical techniques inspired by Nonperturbative Analytical Diagonalization […]
Quantum 9, 1945 (2025). https://doi.org/10.22331/q-2025-12-15-1945 Entanglement distillation, the process of converting weakly entangled states into maximally entangled ones using Local Operations and Classical Communication (LOCC), is pivotal for robust entanglement-assisted quantum information processing in error-prone […]
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