https://bsky.app/profile/qit-cqt.bsky.socialhttps://bsky.app/profile/qit-cqt.bsky.social/post/3mcginhhq322qQuantum Toolbox (15): Relating Relative Entropy and Fidelity (1/6):15 Jan 2026 02:04 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3mcginhhq322qhttps://bsky.app/profile/qit-cqt.bsky.social/post/3mcginhhq322qQuantum Toolbox (15): Relating Relative Entropy and Fidelity (1/6):15 Jan 2026 02:04 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3mcginhhq322qhttps://bsky.app/profile/qit-cqt.bsky.social/post/3mb6pkwvttk2uQuantum Toolbox (14): Quantum Pinsker Inequality (1/6)30 Dec 2025 06:22 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3mb6pkwvttk2uhttps://bsky.app/profile/qit-cqt.bsky.social/post/3m75foutn4k2dQuantum Toolbox (13): Matrix Geometric Mean (1/7)04 Dec 2025 07:02 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3m75foutn4k2dhttps://bsky.app/profile/qit-cqt.bsky.social/post/3m75foutn4k2dQuantum Toolbox (13): Matrix Geometric Mean (1/7)04 Dec 2025 07:02 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3m75foutn4k2dhttps://bsky.app/profile/qit-cqt.bsky.social/post/3m4tsv3wiss2zQuantum Toolbox (12): Bretagnolle-Huber Inequality (1/6)05 Nov 2025 00:41 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3m4tsv3wiss2zhttps://bsky.app/profile/qit-cqt.bsky.social/post/3m3bndp37kc2gQuantum Toolbox (11): Generalized Operator Schwarz Inequality (1/6)16 Oct 2025 01:49 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3m3bndp37kc2ghttps://bsky.app/profile/qit-cqt.bsky.social/post/3lzww5m3jzk2lQuantum Toolbox (10): Uhlmann's Theorem (1/6)29 Sep 2025 02:02 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lzww5m3jzk2lhttps://bsky.app/profile/qit-cqt.bsky.social/post/3lyi3jnhsz22fQuantum Toolbox (9): Sample Complexity Lower Bounds via Mutual Information (1/6)10 Sep 2025 11:03 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lyi3jnhsz22fhttps://bsky.app/profile/qit-cqt.bsky.social/post/3lvdhdeeudk2tQuantum Toolbox (8): Hadamard's Three-Lines Theorem (1/6)01 Aug 2025 10:35 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lvdhdeeudk2thttps://bsky.app/profile/qit-cqt.bsky.social/post/3lt77x6c5ts2iQuantum Toolbox (7): Continuity of the von Neumann Entropy (1/6)05 Jul 2025 07:22 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lt77x6c5ts2ihttps://bsky.app/profile/qit-cqt.bsky.social/post/3lriir3d4b22uWe are happy to share our work in classical distribution testing "Testing (Conditional) Mutual Information" (arxiv.org/abs/2506.03894), which was recently accepted at COLT 2025. (1/6) https://arxiv.org/abs/2506.0389413 Jun 2025 13:04 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lriir3d4b22uhttps://bsky.app/profile/qit-cqt.bsky.social/post/3lrctelkbck2cQuantum Toolbox (6): Hoeffding's Inequality (1/7)11 Jun 2025 06:57 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lrctelkbck2chttps://bsky.app/profile/qit-cqt.bsky.social/post/3lqykgconec2sOur work "Learning pure quantum states (almost) without regret" (arxiv.org/abs/2406.18370) has received an important extension! We connect the notion of regret with the disturbance caused by projective measurements to efficiently learn pure states (almost) without disturbance. (1/3) https://arxiv.org/abs/2406.1837007 Jun 2025 04:51 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lqykgconec2shttps://bsky.app/profile/qit-cqt.bsky.social/post/3lqwfdynkoc2tQuantum Toolbox (5): Cauchy-Schwarz Inequality (1/6)06 Jun 2025 08:15 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lqwfdynkoc2thttps://bsky.app/profile/qit-cqt.bsky.social/post/3lptn7te3tk2eQuantum Toolbox (4): Jordan's Lemma (1/6)23 May 2025 12:32 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lptn7te3tk2ehttps://bsky.app/profile/qit-cqt.bsky.social/post/3lpojpntctc2sQuantum state-agnostic work extraction (almost) without dissipation: We are excited to share a new application of the multi-armed quantum bandit framework—this time in quantum thermodynamics!21 May 2025 11:46 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lpojpntctc2shttps://bsky.app/profile/qit-cqt.bsky.social/post/3lpjemsun6s25We were excited to host @christophhirche.bsky.social as an outgoing MSCA postdoc here in Singapore and are ready to host again whenever scientific interests align. [contains quote post or other embedded content]19 May 2025 10:32 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lpjemsun6s25https://bsky.app/profile/qit-cqt.bsky.social/post/3loy3357ofk2kWe are currently looking for a postdoc. If you are intrigued by Singapore and CQT (and you should be) and have experience in mathematical aspects of quantum information, especially with information measures, quantum cryptography or learning theory, get in touch! https://careers.nus.edu.sg/job/Research-Fellow-%28Quantum-Information-Theory%29/28814-en_GB/12 May 2025 13:26 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3loy3357ofk2khttps://bsky.app/profile/qit-cqt.bsky.social/post/3lopesj5g6k2jQuantum Toolbox (3): Data-Processing Inequality (1/7)09 May 2025 02:26 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lopesj5g6k2jhttps://bsky.app/profile/qit-cqt.bsky.social/post/3lodtrebr7k2zQuantum Toolbox (2): Schur-Weyl Duality (1/6)04 May 2025 12:22 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lodtrebr7k2zhttps://bsky.app/profile/qit-cqt.bsky.social/post/3lnkfspaoys22Quantum Toolbox (1): Jensen's Inequality (1/6)24 Apr 2025 09:35 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lnkfspaoys22https://bsky.app/profile/qit-cqt.bsky.social/post/3lnkepbk6vc25In a series of posts, we aim to present a set of essential tools & techniques that we believe every aspiring quantum information theorist should have in their toolbox. 🧰🛠️ We think these techniques will also be useful for researchers in adjacent fields. All tools will be linked in this thread: 🧵24 Apr 2025 09:15 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3lnkepbk6vc25https://bsky.app/profile/qit-cqt.bsky.social/post/3ln2r7hsnzc2kThe consecutive measurement theorem makes rigorous and robust the intuition that if there exist measurements that succeed with high probability to guess various properties of a quantum system then two consecutive such measurements can be used to deduce two properties with high probability as well. https://scirate.com/arxiv/2504.1275418 Apr 2025 04:17 +0000at://did:plc:y2vde6fps5axtj6dtycquse3/app.bsky.feed.post/3ln2r7hsnzc2k