9 papers
Projector Form of the Quantum Brachistochrone and Its Relation to Two-Boundary Quantum Algorithm Design
Masayuki Ohzeki
We clarify the relation between the time-optimal quantum evolution of Carlini et al. and the coherent two-boundary optimal-control formulation recently proposed for quantum algorit…
Optimal control theory for measured quantum Schrödinger bridges
Masayuki Ohzeki, Andrew N. Jordan
Schrödinger bridges and entropic optimal transport are usually formulated as stochastic interpolation problems between initial and final probability distributions. In their computa…
Slepian Bounds on the Success Probability of Virtual Distillation
Masayuki Ohzeki, Sasuke Kimata, Xinwei Lee +1
Virtual distillation is a powerful near-term error-mitigation primitive, but it is also a spectral filter: it amplifies the dominant eigenvector component already present in the no…
Coherent Quantum Schrodinger Bridge: Two-Boundary Optimal Control for Quantum Algorithm Design
Masayuki Ohzeki
Quantum algorithms are intrinsically two-boundary processes: an input state is prepared, and an output state or subspace is selected as the computational answer. We formulate this…
Attention-Like Hebbian Learning from Quantum Probability Flow and Quantum-Annealer Tests
Masayuki Ohzeki
We propose a quantum probability-flow principle for deriving local learning rules in associative memory. A transverse field defines leakage channels from data states, and minimizin…
A Minimal Duality Estimate for the Surface-Code Threshold under Nearest-Neighbor Correlated Errors
Masayuki Ohzeki
We apply the single-equation duality criterion to the square-octagonal random-bond Ising model recently obtained from an exact error-edge map for a surface code with nearest-neighb…
Analytical Singular-Value Structure of Analytic-Continuation Kernels from Slepian Information Theory
Masayuki Ohzeki
Analytic continuation from imaginary-time Green's functions to real-frequency spectra is a central ill-posed inverse problem in quantum many-body physics. We show that the thermal…
Storage Capacity Evaluation of the Quantum Perceptron using the Replica Method
Mitsuru Urushibata, Masayuki Ohzeki
We investigate a quantum perceptron implemented on a quantum circuit using a repeat until method. We evaluate this from the perspective of capacity, one of the performance evaluati…
Duality analysis in symmetric group and its application to random tensor network model
Masayuki Ohzeki
The Ising model is the simplest to describe many-body effects in classical statistical mechanics. Duality analysis leads to a critical point under several assumptions. The Ising mo…