Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
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A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
No Canadian affiliation. An affiliation-only frame — the usual design — would never have seen this work. It is one of the works that make the case for inverting the frame.
Machine scores (provisional)
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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- Teacher spread
- 0.265 · how far apart the two teachers sit on this one work
- Validation status
score_only:v0-immature-baseline· verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it
Abstract
As physical implementations of quantum architectures emerge, it is increasingly important to consider the cost of algorithms for practical connectivities between qubits. We show that by using an arrangement of gates that we term the fermionic swap network, we can simulate a Trotter step of the electronic structure Hamiltonian in exactly N depth and with N^{2}/2 two-qubit entangling gates, and prepare arbitrary Slater determinants in at most N/2 depth, all assuming only a minimal, linearly connected architecture. We conjecture that no explicit Trotter step of the electronic structure Hamiltonian is possible with fewer entangling gates, even with arbitrary connectivities. These results represent significant practical improvements on the cost of most Trotter-based algorithms for both variational and phase-estimation-based simulation of quantum chemistry.
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The record
- Venue
- Physical Review Letters
- Topic
- Quantum Computing Algorithms and Architecture
- Field
- Computer Science
- Canadian institutions
- —
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Keywords
- Hamiltonian (control theory)QubitQuantumElectronic structureSwap (finance)Computer scienceConjectureQuantum computerTopology (electrical circuits)Quantum mechanicsPhysicsMathematicsDiscrete mathematicsMathematical optimizationCombinatorics
- Has abstract in OpenAlex
- yes