Holographic codes and bulk RG flows
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915514559758336 |
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| author | Dong, Xi Marolf, Donald Rath, Pratik |
| author_facet | Dong, Xi Marolf, Donald Rath, Pratik |
| contents | We consider the coarse-graining of holographic quantum error correcting codes under a generalized notion of bulk renormalization-group flow. In particular, we study the renormalization under this flow of the $A/4G$ term in the Faulkner-Lewkowycz-Maldacena formula and in its Rényi generalization. This provides a general quantum code perspective on the arguments of Susskind and Uglum. Specifically, given a 'UV' code with two-sided recovery and appropriately flat entanglement spectrum together with a set of 'seed' states in the UV code, we explicitly construct an 'IR' code with corresponding properties which contains the given seed states and is of minimal size in a sense we describe. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21438 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holographic codes and bulk RG flows Dong, Xi Marolf, Donald Rath, Pratik High Energy Physics - Theory Quantum Physics We consider the coarse-graining of holographic quantum error correcting codes under a generalized notion of bulk renormalization-group flow. In particular, we study the renormalization under this flow of the $A/4G$ term in the Faulkner-Lewkowycz-Maldacena formula and in its Rényi generalization. This provides a general quantum code perspective on the arguments of Susskind and Uglum. Specifically, given a 'UV' code with two-sided recovery and appropriately flat entanglement spectrum together with a set of 'seed' states in the UV code, we explicitly construct an 'IR' code with corresponding properties which contains the given seed states and is of minimal size in a sense we describe. |
| title | Holographic codes and bulk RG flows |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2509.21438 |