[ { "id": "https://authors.library.caltech.edu/records/9xjdq-17m74", "eprint_id": 116092, "eprint_status": "archive", "datestamp": "2023-08-20 08:04:43", "lastmod": "2023-10-23 15:21:40", "type": "book_section", "metadata_visibility": "show", "creators": { "items": [ { "id": "Berta-Mario", "name": { "family": "Berta", "given": "Mario" }, "orcid": "0000-0002-0428-3429" }, { "id": "Tomamichel-Marco", "name": { "family": "Tomamichel", "given": "Marco" }, "orcid": "0000-0001-5410-3329" } ] }, "title": "Chain rules for quantum channels", "ispublished": "unpub", "full_text_status": "public", "keywords": "Quantum information measures, quantum Renyi divergences, quantum entropy inequalities, quantum statistics, quantum channel discrimination", "note": "\u00a9 2022 IEEE. \n\nThis work was completed prior to MB joining the AWS Center for Quantum Computing. This research is supported by the National Research Foundation, Prime Minister's Office, Singapore and the Ministry of Education, Singapore under the Research Centres of Excellence programme. MT is also supported in part by NUS startup grants (R-263-000-E32-133 and R-263-000-E32-731). We thank David Sutter for discussions.\n\n
Accepted Version - 2204.11153.pdf
", "abstract": "Divergence chain rules for channels relate the divergence of a pair of channel inputs to the divergence of the corresponding channel outputs. An important special case of such a rule is the data-processing inequality, which tells us that if the same channel is applied to both inputs then the divergence cannot increase. Based on direct matrix analysis methods, we derive several R\u00e9nyi divergence chain rules for channels in the quantum setting. Our results simplify and in some cases generalise previous derivations in the literature.", "date": "2022-06-26", "date_type": "published", "publisher": "IEEE", "place_of_pub": "Piscataway, NJ", "pagerange": "2427-2432", "id_number": "CaltechAUTHORS:20220804-765729000", "isbn": "978-1-6654-2159-1", "book_title": "2022 IEEE International Symposium on Information Theory (ISIT)", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20220804-765729000", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "National Research Foundation (Singapore)" }, { "agency": "Ministry of Education (Singapore)" }, { "agency": "National University of Singapore", "grant_number": "R-263-000-E32-133" }, { "agency": "National University of Singapore", "grant_number": "R-263-000-E32-731" } ] }, "local_group": { "items": [ { "id": "AWS-Center-for-Quantum-Computing" } ] }, "doi": "10.1109/isit50566.2022.9834391", "primary_object": { "basename": "2204.11153.pdf", "url": "https://authors.library.caltech.edu/records/9xjdq-17m74/files/2204.11153.pdf" }, "pub_year": "2022", "author_list": "Berta, Mario and Tomamichel, Marco" }, { "id": "https://authors.library.caltech.edu/records/eve5p-fx063", "eprint_id": 116091, "eprint_status": "archive", "datestamp": "2023-08-20 08:04:35", "lastmod": "2023-10-23 15:21:43", "type": "book_section", "metadata_visibility": "show", "creators": { "items": [ { "id": "Cao-Michael-X", "name": { "family": "Cao", "given": "Michael X." } }, { "id": "Ramakrishnan-Navneeth", "name": { "family": "Ramakrishnan", "given": "Navneeth" }, "orcid": "0000-0002-7119-1989" }, { "id": "Berta-Mario", "name": { "family": "Berta", "given": "Mario" }, "orcid": "0000-0002-0428-3429" }, { "id": "Tomamichel-Marco", "name": { "family": "Tomamichel", "given": "Marco" }, "orcid": "0000-0001-5410-3329" } ] }, "title": "One-Shot Point-to-Point Channel Simulation", "ispublished": "unpub", "full_text_status": "restricted", "note": "\u00a9 2022 IEEE. \n\nThis research is supported by the National Research Foundation, Prime Minister's Office, Singapore and the Ministry of Education, Singapore under the Research Centres of Excellence programme. MC and MT are also supported by NUS startup grants (R-263-000-E32-133 and R-263-000-E32-731).", "abstract": "We study the problem of one-shot channel simulation of DMCs with unlimited shared randomness. For any fixed tolerance measured in total variational distance, we propose an achievability bound and a converse bound on the size of the code to simulate the channel. The achievability bound utilizes the convex split lemma, whereas the converse bound is the result of the relationships between smoothed max-divergences and the max-mutual information. The achievability proof does not rely on a \"universal state\" (compared with some previous related works), and provides a tighter bound. Using the two bounds, we also provide an alternative proof to the reverse Shannon theorem.", "date": "2022-06-26", "date_type": "published", "publisher": "IEEE", "place_of_pub": "Piscataway, NJ", "pagerange": "796-801", "id_number": "CaltechAUTHORS:20220804-765722000", "isbn": "978-1-6654-2159-1", "book_title": "2022 IEEE International Symposium on Information Theory (ISIT)", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20220804-765722000", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "National Research Foundation (Singapore)" }, { "agency": "Ministry of Education (Singapore)" }, { "agency": "National University of Singapore", "grant_number": "R-263-000-E32-133" }, { "agency": "National University of Singapore", "grant_number": "R-263-000-E32-731" } ] }, "local_group": { "items": [ { "id": "IQIM" }, { "id": "AWS-Center-for-Quantum-Computing" } ] }, "doi": "10.1109/isit50566.2022.9834411", "pub_year": "2022", "author_list": "Cao, Michael X.; Ramakrishnan, Navneeth; et el." }, { "id": "https://authors.library.caltech.edu/records/fck8a-erc60", "eprint_id": 113787, "eprint_status": "archive", "datestamp": "2023-08-20 07:11:31", "lastmod": "2024-01-15 21:25:50", "type": "book_section", "metadata_visibility": "show", "creators": { "items": [ { "id": "Xu-Qian", "name": { "family": "Xu", "given": "Qian" }, "orcid": "0000-0002-8738-9420" }, { "id": "Putterman-Harald", "name": { "family": "Putterman", "given": "Harald" }, "orcid": "0000-0002-5841-181X" }, { "id": "Iverson-Joseph-K", "name": { "family": "Iverson", "given": "Joseph K." }, "orcid": "0000-0003-4665-8839" }, { "id": "Noh-Kyungjoo", "name": { "family": "Noh", "given": "Kyungjoo" }, "orcid": "0000-0002-6318-8472" }, { "id": "Painter-O", "name": { "family": "Painter", "given": "Oskar" }, "orcid": "0000-0002-1581-9209" }, { "id": "Brand\u00e3o-F-G-S-L", "name": { "family": "Brand\u00e3o", "given": "Fernando G. S. L." }, "orcid": "0000-0003-3866-9378" }, { "id": "Jiang-Liang", "name": { "family": "Jiang", "given": "Liang" }, "orcid": "0000-0002-0000-9342" } ] }, "title": "Engineering Kerr-cat qubits for hardware efficient quantum error correction", "ispublished": "unpub", "full_text_status": "public", "note": "\u00a9 2022 Society of Photo-Optical Instrumentation Engineers (SPIE). \n\nWe thank Aashish Clerk, Kyungjoo Noh, Shruti Puri, Harry Putterman and Hugo Ribeiro for helpful discussions. We also thank Christopher Chamberland for useful comments and suggestions on the concatenated quantum error correction. We thank Arne L. Grimsmo, Matthew H. Matheny, and Gil Refael for useful comments on the manuscript. The authors are also grateful for the support of the University of Chicago Research Computing Center for assistance with the numerical simulations carried out in this work. We acknowledge support from the ARO (W911NF-18-1-0020, W911NF-18-1-0212), ARO MURI (W911NF-16-1-0349), AFOSR MURI (FA9550-19-1-0399), NSF (EFMA-1640959, OMA-1936118, EEC-1941583), NTT Research, and the Packard Foundation (2013-39273).\n\nPublished - 120150B.pdf
", "abstract": "Stabilized cat qubits that possess biased noise channel with bit-flip errors exponentially smaller than phase-flip errors. Together with a set of bias-preserving (BP) gates, cat qubits are a promising candidate for realizing hardware efficient quantum error correction and fault-tolerant quantum computing. Compared to dissipatively stabilized cat qubits, the Kerr cat qubits can in principle support faster gate operations with higher gate fidelity, benefiting from the large energy gap that protects the code space. However, the leakage of the Kerr cats can increase the minor type of errors and compromise the noise bias. Both the fast implementation of gates and the interaction with environment can lead to such detrimental leakage if no sophisticated controls are applied. In this work, we introduce new fine-control techniques to overcome the above obstacles for Kerr cat qubits. To suppress the gate leakage, we use the derivative-based transition suppression technique to design derivative-based controls for the Kerr BP gates. We show that the fine-controlled gates can simultaneously have high gate fidelity and high noise bias and when applied to concatenated quantum error correction, can not only improve the logical error rate but also reduce resource overhead. To suppress the environment-induced leakage, we introduce colored single-photon dissipation, which can continuously cool the Kerr cats and suppress the minor errors while not enhancing the major errors.", "date": "2022-03-02", "date_type": "published", "publisher": "Society of Photo-optical Instrumentation Engineers", "id_number": "CaltechAUTHORS:20220307-189714000", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20220307-189714000", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Army Research Office (ARO)", "grant_number": "W911NF-18-1-0020" }, { "agency": "Army Research Office (ARO)", "grant_number": "W911NF-18-1-0212" }, { "agency": "Army Research Office (ARO)", "grant_number": "W911NF-16-1-0349" }, { "agency": "Air Force Office of Scientific Research (AFOSR)", "grant_number": "FA9550-19-1-0399" }, { "agency": "NSF", "grant_number": "EFMA-1640959" }, { "agency": "NSF", "grant_number": "OMA-1936118" }, { "agency": "NSF", "grant_number": "EEC-1941583" }, { "agency": "NTT Research" }, { "agency": "David and Lucile Packard Foundation", "grant_number": "2013-39273" } ] }, "local_group": { "items": [ { "id": "AWS-Center-for-Quantum-Computing" }, { "id": "IQIM" } ] }, "contributors": { "items": [ { "id": "Hemmer-Philip-R", "name": { "family": "Hemmer", "given": "Philip R." } }, { "id": "Migdall-Alan-L", "name": { "family": "Migdall", "given": "Alan L." } } ] }, "doi": "10.1117/12.2614832", "primary_object": { "basename": "120150B.pdf", "url": "https://authors.library.caltech.edu/records/fck8a-erc60/files/120150B.pdf" }, "pub_year": "2022", "author_list": "Xu, Qian; Putterman, Harald; et el." }, { "id": "https://authors.library.caltech.edu/records/s74n9-ae211", "eprint_id": 115772, "eprint_status": "archive", "datestamp": "2023-08-20 05:26:50", "lastmod": "2023-10-23 15:37:50", "type": "book_section", "metadata_visibility": "show", "creators": { "items": [ { "id": "Ramakrishnan-Navneeth", "name": { "family": "Ramakrishnan", "given": "Navneeth" } }, { "id": "Tomamichel-Marco", "name": { "family": "Tomamichel", "given": "Marco" }, "orcid": "0000-0001-5410-3329" }, { "id": "Berta-Mario", "name": { "family": "Berta", "given": "Mario" }, "orcid": "0000-0002-0428-3429" } ] }, "title": "Moderate Deviation Analysis for Quantum State Transfer", "ispublished": "unpub", "full_text_status": "restricted", "note": "\u00a9 2021 IEEE. \n\nThis work was completed prior to MB joining the AWS Center for Quantum Computing. We thank Michael Cao for useful discussions. MT is supported by the National Research Foundation, Prime Minister's Office, Singapore and the Ministry of Education, Singapore under the Research Centres of Excellence programme, as well as NUS startup grants (R-263-000-E32-133 and R-263-000-E32-731).", "abstract": "Quantum state transfer involves two parties who use pre-shared entanglement and noiseless communication in order to transfer parts of a quantum state. In this work, we quantity the communication cost of one-shot state splitting in terms of the partially smoothed max-information. We then give an analysis of state splitting in the moderate deviation regime, where the error in the protocol goes sub-exponentially fast to zero as a function of the number of i.i.d. copies. The main technical tool we derive is a tight relation between the partially smoothed max-information and the hypothesis testing relative entropy, which allows us to obtain the expansion of the partially smoothed max-information for i.i.d. states in the moderate deviation regime. This then also establishes the moderate deviation analysis for other variants of state transfer such as state merging and source coding.", "date": "2021-10", "date_type": "published", "publisher": "IEEE", "place_of_pub": "Piscataway, NJ", "pagerange": "1-6", "id_number": "CaltechAUTHORS:20220722-768863000", "isbn": "978-1-6654-0312-2", "book_title": "2021 IEEE Information Theory Workshop (ITW)", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20220722-768863000", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "National Research Foundation (Singapore)" }, { "agency": "Ministry of Education (Singapore)" }, { "agency": "Prime Minister's Office (Singapore)" }, { "agency": "National University of Singapore", "grant_number": "R-263-000-E32-133" }, { "agency": "National University of Singapore", "grant_number": "R-263-000-E32-731" } ] }, "local_group": { "items": [ { "id": "IQIM" }, { "id": "AWS-Center-for-Quantum-Computing" } ] }, "doi": "10.1109/itw48936.2021.9611459", "pub_year": "2021", "author_list": "Ramakrishnan, Navneeth; Tomamichel, Marco; et el." }, { "id": "https://authors.library.caltech.edu/records/hvye9-skz96", "eprint_id": 112770, "eprint_status": "archive", "datestamp": "2023-08-20 03:08:40", "lastmod": "2023-10-23 22:46:14", "type": "book_section", "metadata_visibility": "show", "creators": { "items": [ { "id": "Meesala-Srujan", "name": { "family": "Meesala", "given": "Srujan" } }, { "id": "Banker-Jash", "name": { "family": "Banker", "given": "Jash" }, "orcid": "0000-0002-2130-0825" }, { "id": "Wood-Steven", "name": { "family": "Wood", "given": "Steven" } }, { "id": "Sipahigil-Alp", "name": { "family": "Sipahigil", "given": "Alp" }, "orcid": "0000-0003-1469-5272" }, { "id": "Lake-David", "name": { "family": "Lake", "given": "David" } }, { "id": "Chiappina-Piero", "name": { "family": "Chiappina", "given": "Piero" } }, { "id": "Beyer-Andrew", "name": { "family": "Beyer", "given": "Andrew" } }, { "id": "Shaw-Matthew", "name": { "family": "Shaw", "given": "Matthew" } }, { "id": "Painter-O", "name": { "family": "Painter", "given": "Oskar" }, "orcid": "0000-0002-1581-9209" } ] }, "title": "Effects of Laser Illumination on Superconducting Circuits for Quantum Transduction", "ispublished": "unpub", "full_text_status": "public", "note": "\u00a9 2021 The Author(s).\n\nPublished - Effects_of_Laser_Illumination_on_Superconducting_Circuits_for_Quantum_Transduction.pdf
", "abstract": "Decoherence and noise from optical absorption in superconducting circuits hinder development of microwave to optical quantum transducers. Addressing these issues, we fabricate niobium-based resonators and qubits, and study them under laser illumination at milliKelvin temperatures.", "date": "2021-05", "date_type": "published", "publisher": "Optical Society of America", "place_of_pub": "Washington, DC", "pagerange": "Art. No. FTh2P.7", "id_number": "CaltechAUTHORS:20220107-146202900", "isbn": "978-1-943580-91-0", "book_title": "2021 Conference on Lasers and Electro-Optics (CLEO)", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20220107-146202900", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "local_group": { "items": [ { "id": "AWS-Center-for-Quantum-Computing" } ] }, "doi": "10.1364/cleo_qels.2021.fth2p.7", "primary_object": { "basename": "Effects_of_Laser_Illumination_on_Superconducting_Circuits_for_Quantum_Transduction.pdf", "url": "https://authors.library.caltech.edu/records/hvye9-skz96/files/Effects_of_Laser_Illumination_on_Superconducting_Circuits_for_Quantum_Transduction.pdf" }, "pub_year": "2021", "author_list": "Meesala, Srujan; Banker, Jash; et el." } ]