Efficient implementation of single particle Hamiltonians in exponentially reduced qubit space
| dc.contributor.author | Plesch, Martin | |
| dc.contributor.author | Friák, Martin | |
| dc.contributor.author | Mohammad, Ijaz Ahamed | |
| dc.date.accessioned | 2026-08-18T06:08:31Z | |
| dc.date.available | 2026-08-18T06:08:31Z | |
| dc.date.issued | 2026 | |
| dc.description | 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. | |
| dc.description.abstract | 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. | |
| dc.description.sponsorship | 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 | |
| dc.identifier.doi | https://doi.org/10.22331/q-2026-05-08-2099 | |
| dc.identifier.issn | 2521-327X | |
| dc.identifier.uri | https://repo.umb.sk/handle/123456789/1596 | |
| dc.language.iso | en | |
| dc.publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften : Viedeň | |
| dc.rights | CC BY Creative Commons Attribution 4.0 International | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | častice (fyzika) | |
| dc.subject | hamiltoniány | |
| dc.subject | Hamiltonians | |
| dc.subject | kvantová fyzika | |
| dc.subject | quantum physics | |
| dc.title | Efficient implementation of single particle Hamiltonians in exponentially reduced qubit space | |
| dc.type | Article | |
| dc.type | info:eu-repo/semantics/article |
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