Efficient implementation of single particle Hamiltonians in exponentially reduced qubit space
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Dátum
2026
Názov časopisu
ISSN časopisu
Názov zväzku
Vydavateľ
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften : Viedeň
ISBN
ISSN
2521-327X
Abstrakt
Current and near-term quantum hardware is constrained by limited qubit counts, circuit depth, and the high cost of repeated measurements. We address these challenges for solid-state Hamiltonians by introducing a logarithmic-qubit encoding that maps a system with N physical sites onto only ⌈log2N⌉ qubits while maintaining a clear correspondence with the underlying physical model. Within this reduced register, we construct a compatible variational circuit and a Gray-code-inspired measurement strategy whose number of global settings grows only logarithmically with system size. To quantify the overall hardware load, we introduce a volumetric efficiency metric that combines the number of qubits, circuit depth, and the number of measurement settings into a single measure, expressing the overall computation costs. Using this metric, we show that the total space--time sampling volume required in a variational loop can be reduced dramatically from N2 to (logN)3 for a hardware-efficient ansatz, allowing an exponential reduction in time and size of the quantum hardware. These results demonstrate that large, structured solid-state Hamiltonians can be simulated on substantially smaller quantum registers with controlled sampling overhead and manageable circuit complexity, extending the reach of variational quantum algorithms on near-term devices.
Popis
In: Quantum : the open journal for quantum science. Viedeň : Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2026. ISSN 2521-327X. Vol. 10 (2026), pp. 1-21.
Kľúčové slová
častice (fyzika), hamiltoniány, Hamiltonians, kvantová fyzika, quantum physics
Výstup z projektu
VEGA 2/0055/23 Efektívne algoritmy pre kvantové počítanie v ére NISQ
Plán obnovy a odolnosti SR 09I03-03-V04-00685
Plán obnovy a odolnosti SR 09I03-03-V04-00425 Efektívne algoritmy pre kvantové počítače v ére NISQ
Citácia
Práva a licenčné podmienky
CC BY Creative Commons Attribution 4.0 International
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess