A tree tensor network renormalization decomposes matrix product states into log-depth quantum circuits with a fidelity-depth trade-off parameter, extended to matrix product operators for ancilla-free overlap verification circuits.
Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of physics349, 117 (2014)
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Quantum state evolution in variational algorithms is governed by geometric phase rather than dynamical phase, with entanglement decoupled from evolution in hardware-efficient ansatzes but acting as a dynamical resource in Hamiltonian variational ansatzes.
Tensor network calculations reveal rich entanglement patterns, quantum phase transitions, and tunable spin coherence in a molecular Lieb-lattice circuit designed for spin-based quantum computing.
A tunable mixing parameter p in random quantum circuits controls the transition from classically simulable to expressive quantum reservoir dynamics via entanglement and nonstabilizer content.
A penalty-free, fully quantum algorithm is proposed for finding ground and excited states of many-body Hamiltonians.
citing papers explorer
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Practical Log-Depth Quantum State Preparation and Circuit Verification via Tree Tensor Network Compilation
A tree tensor network renormalization decomposes matrix product states into log-depth quantum circuits with a fidelity-depth trade-off parameter, extended to matrix product operators for ancilla-free overlap verification circuits.
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Calibrating the Role of Entanglement in Variational Quantum Algorithms from a Geometric Perspective
Quantum state evolution in variational algorithms is governed by geometric phase rather than dynamical phase, with entanglement decoupled from evolution in hardware-efficient ansatzes but acting as a dynamical resource in Hamiltonian variational ansatzes.
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Entanglement in a molecular Lieb-lattice quantum computing circuit: A tensor network study
Tensor network calculations reveal rich entanglement patterns, quantum phase transitions, and tunable spin coherence in a molecular Lieb-lattice circuit designed for spin-based quantum computing.
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Optimal quantum reservoir learning in proximity to universality
A tunable mixing parameter p in random quantum circuits controls the transition from classically simulable to expressive quantum reservoir dynamics via entanglement and nonstabilizer content.
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A penalty-free quantum algorithm to find energy eigenstates
A penalty-free, fully quantum algorithm is proposed for finding ground and excited states of many-body Hamiltonians.