Trading modes against energy
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909802258497536 |
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| author | Brenner, Lukas Dias, Beatriz Koenig, Robert |
| author_facet | Brenner, Lukas Dias, Beatriz Koenig, Robert |
| contents | We ask how much energy is required to weakly simulate an $n$-qubit quantum circuit (i.e., produce samples from its output distribution) by a unitary circuit in a hybrid qubit-oscillator model. The latter consists of a certain number of bosonic modes coupled to a constant number of qubits by a Jaynes-Cummings Hamiltonian. We find that efficient approximate weak simulation of an $n$-qubit quantum circuit of polynomial size with inverse polynomial error is possible with
(1) a linear number of bosonic modes and a polynomial amount of energy, or
(2) a sublinear (polynomial) number of modes and a subexponential amount of energy, or
(3) a constant number of modes and an exponential amount of energy. Our construction encodes qubits into high-dimensional approximate Gottesman-Kitaev-Preskill (GKP) codes. It provides new insight into the trade-off between system size (i.e., number of modes) and the amount of energy required to perform quantum computation in the continuous-variable setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trading modes against energy Brenner, Lukas Dias, Beatriz Koenig, Robert Quantum Physics We ask how much energy is required to weakly simulate an $n$-qubit quantum circuit (i.e., produce samples from its output distribution) by a unitary circuit in a hybrid qubit-oscillator model. The latter consists of a certain number of bosonic modes coupled to a constant number of qubits by a Jaynes-Cummings Hamiltonian. We find that efficient approximate weak simulation of an $n$-qubit quantum circuit of polynomial size with inverse polynomial error is possible with (1) a linear number of bosonic modes and a polynomial amount of energy, or (2) a sublinear (polynomial) number of modes and a subexponential amount of energy, or (3) a constant number of modes and an exponential amount of energy. Our construction encodes qubits into high-dimensional approximate Gottesman-Kitaev-Preskill (GKP) codes. It provides new insight into the trade-off between system size (i.e., number of modes) and the amount of energy required to perform quantum computation in the continuous-variable setting. |
| title | Trading modes against energy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.18854 |