Quantum State Design and Emergent Confinement Mechanism in Measured Tensor Network States
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913815812112384 |
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| author | Lami, Guglielmo De Luca, Andrea Turkeshi, Xhek De Nardis, Jacopo |
| author_facet | Lami, Guglielmo De Luca, Andrea Turkeshi, Xhek De Nardis, Jacopo |
| contents | Randomness is a fundamental aspect of quantum mechanics, arising from the measurement process that collapses superpositions into definite outcomes according to Born's rule. Generating large-scale random quantum states is crucial for quantum computing and many-body physics, yet remains a key challenge. We present a practical method based on local measurements of random Tensor Networks, focusing on random Matrix Product States (MPS) generated by two distinct quantum circuit architectures, both feasible on near-term devices. We certify the emergent quantum randomness using the frame potential and establish a mapping between its behavior and the statistical mechanics of a domain wall particle model. In both architectures, the effect of quantum measurements induces a nontrivial confinement mechanism, where domain walls are either trapped by an external potential or bound in pairs to form meson-like excitations. Our results, supported by both exact analytical calculations and numerical simulations, suggest that confinement is a general mechanism underlying random state generation in broader settings with local measurements, including quantum circuits and chaotic dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_16995 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum State Design and Emergent Confinement Mechanism in Measured Tensor Network States Lami, Guglielmo De Luca, Andrea Turkeshi, Xhek De Nardis, Jacopo Quantum Physics Randomness is a fundamental aspect of quantum mechanics, arising from the measurement process that collapses superpositions into definite outcomes according to Born's rule. Generating large-scale random quantum states is crucial for quantum computing and many-body physics, yet remains a key challenge. We present a practical method based on local measurements of random Tensor Networks, focusing on random Matrix Product States (MPS) generated by two distinct quantum circuit architectures, both feasible on near-term devices. We certify the emergent quantum randomness using the frame potential and establish a mapping between its behavior and the statistical mechanics of a domain wall particle model. In both architectures, the effect of quantum measurements induces a nontrivial confinement mechanism, where domain walls are either trapped by an external potential or bound in pairs to form meson-like excitations. Our results, supported by both exact analytical calculations and numerical simulations, suggest that confinement is a general mechanism underlying random state generation in broader settings with local measurements, including quantum circuits and chaotic dynamics. |
| title | Quantum State Design and Emergent Confinement Mechanism in Measured Tensor Network States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.16995 |