Sequential Generation of Two-dimensional Super-area-law States with Local Parent Hamiltonian
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915734951559168 |
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| author | Zhang, Wucheng |
| author_facet | Zhang, Wucheng |
| contents | We construct examples of highly entangled two-dimensional states by exploiting a correspondence between stochastic processes in $d$ dimensions and quantum states in $d+1$ dimensions. The entanglement structure of these states, which we explicitly calculate, can be tuned between area law, sub-volume law, and volume law. This correspondence also enables a sequential generation protocol: the states can be prepared through a series of unitary transformations acting on an auxiliary system. We also discuss the conditions under which these states have local, frustration-free parent Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sequential Generation of Two-dimensional Super-area-law States with Local Parent Hamiltonian Zhang, Wucheng Quantum Physics Statistical Mechanics We construct examples of highly entangled two-dimensional states by exploiting a correspondence between stochastic processes in $d$ dimensions and quantum states in $d+1$ dimensions. The entanglement structure of these states, which we explicitly calculate, can be tuned between area law, sub-volume law, and volume law. This correspondence also enables a sequential generation protocol: the states can be prepared through a series of unitary transformations acting on an auxiliary system. We also discuss the conditions under which these states have local, frustration-free parent Hamiltonians. |
| title | Sequential Generation of Two-dimensional Super-area-law States with Local Parent Hamiltonian |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2505.02914 |