Exponentially faster implementations of Select(H) for fermionic Hamiltonians
We present a simple but general framework for constructing quantum circuits that implement the multiply-controlled unitary $\text{Select}(H) := \sum_\ell |\ell\rangle\langle\ell|\otimes H_\ell$, where $H = \sum_\ell H_\ell$ is the Jordan-Wigner transform of an arbitrary second-quantised fermionic Ha...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2021-01-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2021-01-12-380/pdf/ |