Add dirty version of qubits and multi-qubit states
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@@ -1563,3 +1563,38 @@ We study the performance of medium-length quantum LDPC (QLDPC) codes in the depo
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pages = {429--445},
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file = {Available Version (via Google Scholar):/home/andreas/workspace/work/hiwi/Zotero/storage/BYT9IHNL/Hagenauer et al. - 2002 - Iterative decoding of binary block and convolutional codes.pdf:application/pdf},
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}
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@article{kang_quits_2025,
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title = {{QUITS}: {A} modular {Qldpc} code {circUIT} {Simulator}},
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volume = {9},
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issn = {2521-327X},
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shorttitle = {{QUITS}},
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url = {http://arxiv.org/abs/2504.02673},
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doi = {10.22331/q-2025-12-05-1931},
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abstract = {To achieve quantum fault tolerance with lower overhead, quantum low-density parity-check (QLDPC) codes have emerged as a promising alternative to topological codes such as the surface code, offering higher code rates. To support their study, an end-to-end framework for simulating QLDPC codes at the circuit level is needed. In this work, we present QUITS, a modular and flexible circuit-level simulator for QLDPC codes. Its design allows users to freely combine LDPC code constructions, syndrome extraction circuits, decoding algorithms, and noise models, enabling comprehensive and customizable studies of the performance of QLDPC codes under circuit-level noise. QUITS supports several leading QLDPC families, including hypergraph product codes, lifted product codes, and balanced product codes. As part of the framework, we introduce a syndrome extraction circuit improved from Tremblay, Delfosse, and Beverland [Phys. Rev. Lett. 129, 050504 (2022)] that applies to all three code families. In particular, for a small hypergraph product code, our circuit achieves lower depth than the conventional method, resulting in improved logical performance. Using QUITS, we evaluate the performance of state-of-the-art QLDPC codes and decoders under various settings, revealing trade-offs between the decoding runtime and the logical failure rate. The source code of QUITS is available online.},
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urldate = {2026-04-14},
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journal = {Quantum},
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author = {Kang, Mingyu and Lin, Yingjia and Yao, Hanwen and Gökduman, Mert and Meinking, Arianna and Brown, Kenneth R.},
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month = dec,
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year = {2025},
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note = {arXiv:2504.02673 [quant-ph]
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TLDR: This work presents QUITS, a modular and flexible circuit-level simulator for QLDPC codes that allows users to freely combine LDPC code constructions, syndrome extraction circuits, decoding algorithms, and noise models, enabling comprehensive and customizable studies of the performance of QLDPC codes under circuit-level noise.},
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keywords = {/unread, Quantum Physics},
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pages = {1931},
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file = {Preprint PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/ZPGRZW55/Kang et al. - 2025 - QUITS A modular Qldpc code circUIT Simulator.pdf:application/pdf},
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}
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@book{griffiths_consistent_2001,
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address = {Cambridge},
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title = {Consistent {Quantum} {Theory}},
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isbn = {978-0-521-53929-6},
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url = {https://www.cambridge.org/core/books/consistent-quantum-theory/8D3D112C514DF6CEC8D5BF63EC872D2E},
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doi = {10.1017/CBO9780511606052},
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abstract = {Quantum mechanics is one of the most fundamental yet difficult subjects in physics. Nonrelativistic quantum theory is presented here in a clear and systematic fashion, integrating Born's probabilistic interpretation with Schrödinger dynamics. Basic quantum principles are illustrated with simple examples requiring no mathematics beyond linear algebra and elementary probability theory. The quantum measurement process is consistently analyzed using fundamental quantum principles without referring to measurement. These same principles are used to resolve several of the paradoxes that have long perplexed physicists, including the double slit and Schrödinger's cat. The consistent histories formalism used here was first introduced by the author, and extended by M. Gell-Mann, J. Hartle and R. Omnès. Essential for researchers yet accessible to advanced undergraduate students in physics, chemistry, mathematics, and computer science, this book is supplementary to standard textbooks. It will also be of interest to physicists and philosophers working on the foundations of quantum mechanics.},
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urldate = {2026-04-19},
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publisher = {Cambridge University Press},
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author = {Griffiths, Robert B.},
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year = {2001},
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keywords = {/unread},
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file = {PDF:/home/andreas/workspace/work/hiwi/Zotero/storage/SGJAZGXS/Griffiths - 2001 - Consistent Quantum Theory.pdf:application/pdf},
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}
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