Emulation Capacity between Idempotent Channels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909940958887936 |
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| author | Delsol, Idris Fawzi, Omar Gao, Li Rahaman, Mizanur |
| author_facet | Delsol, Idris Fawzi, Omar Gao, Li Rahaman, Mizanur |
| contents | We study the optimal rates of emulation (also called interconversion) between quantum channels. When the source and the target channels are idempotent, we give a single-letter expression for the zero-error emulation capacity in terms of structural properties of the range of the two channels. This expression shows that channel emulation is not reversible for general idempotent channels. Furthermore, we establish a strong converse rate that matches with the zero-error emulation capacity when the source or the target channel is either an identity or a completely dephasing channel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emulation Capacity between Idempotent Channels Delsol, Idris Fawzi, Omar Gao, Li Rahaman, Mizanur Quantum Physics Operator Algebras We study the optimal rates of emulation (also called interconversion) between quantum channels. When the source and the target channels are idempotent, we give a single-letter expression for the zero-error emulation capacity in terms of structural properties of the range of the two channels. This expression shows that channel emulation is not reversible for general idempotent channels. Furthermore, we establish a strong converse rate that matches with the zero-error emulation capacity when the source or the target channel is either an identity or a completely dephasing channel. |
| title | Emulation Capacity between Idempotent Channels |
| topic | Quantum Physics Operator Algebras |
| url | https://arxiv.org/abs/2511.16299 |