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quant-ph2025
Higher order tensor factorizations for block encoding vibrational and vibronic Hamiltonians
Hirsh Kamakari, Emil Zak
Fault tolerant quantum simulation via the phase estimation algorithm and qubitization has a T-gate count that scales proportionally to the 1-norm of the Hamiltonian, the cost of bl…
quant-ph2024
Utilizing redundancies in Qubit Hilbert Space to reduce entangling gate counts in the Unitary Vibrational Coupled-Cluster Method
Michal Szczepanik, Emil Zak
We present a new method for state preparation using the Unitary Vibrational Coupled-Cluster (UVCC) technique. Our approach utilizes redundancies in the Hilbert space in the direct…
quant-ph2024
Simultaneously optimizing symmetry shifts and tensor factorizations for cost-efficient Fault-Tolerant Quantum Simulations of electronic Hamiltonians
Konrad Deka, Emil Zak
In fault-tolerant quantum computing, the cost of calculating Hamiltonian eigenvalues using the quantum phase estimation algorithm is proportional to the constant scaling the Hamilt…