Multi-Segment Generated Subspace EvolutionforHolonomic Quantum Gates

$d$-pod realization of nonadiabatic holonomic quantum computation

Holonomic quantum computation (HQC) realizes quantum gates through non-Abelian geometric phases, providing an experimentally accessible approach to quantum control. While the nonadiabatic HQC framework has been extensively developed for three-level $\Lambda$ systems encoding qubits, its systematic extension to higher-d...

Coherence-selective non-Markovian qubit dynamics

Variational Real-Time Dynamics on Reduced Operator Manifolds

Accurate real-time simulation of correlated quantum systems remains challenging for both classical methods and near-term quantum hardware. We introduce operator-projected variational quantum real-time evolution (OVQRTE), which updates a parameterized circuit by enforcing the Ehrenfest equations for a selected set of ob...

A unifying framework for quantum algorithms for time-dependent non-unitary dynamics

We present an improved autonomization method for quantum simulation of time-dependent homogeneous dissipative linear systems, combining a clock-variable reformulation with Schr\"odingerization to obtain a time-independent Hamiltonian system. To control both discretization error and recovery probability, we construct th...

Limitations on Joint Coherence Transfer in Quantum Thermodynamics

Coherences between different energy levels are strongly constrained by thermodynamics. Here we ask a related question: if several coherence transfers can be optimized separately, can they also be optimized simultaneously by the same thermodynamic process? We show that this is in general a compatibility problem. Using a...

Discretized Holonomy as an Encoding Primitive for Quantum Cryptography

Geometric phases in quantum systems give rise to holonomies associated with cyclic evolution. In mixed-state settings, these holonomies arise from Uhlmann parallel transport on the purification bundle of density operators and depend on the global geometry of density-operator trajectories. In this work we introduce disc...