2 Search Results for "Dvir, Rotem"

Document
DOI: 10.4230/LIPIcs.CCC.2025.17
Space-Bounded Quantum Interactive Proof Systems

Authors: François Le Gall, Yupan Liu, Harumichi Nishimura, and Qisheng Wang

Published in: LIPIcs, Volume 339, 40th Computational Complexity Conference (CCC 2025)

Abstract
We introduce two models of space-bounded quantum interactive proof systems, QIPL and QIP_{U}L. The QIP_{U}L model, a space-bounded variant of quantum interactive proofs (QIP) introduced by Watrous (CC 2003) and Kitaev and Watrous (STOC 2000), restricts verifier actions to unitary circuits. In contrast, QIPL allows logarithmically many pinching intermediate measurements per verifier action, making it the weakest model that encompasses the classical model of Condon and Ladner (JCSS 1995). We characterize the computational power of QIPL and QIP_{U}L. When the message number m is polynomially bounded, QIP_{U}L ⊊ QIPL unless P = NP: - QIPL^HC, a subclass of QIPL defined by a high-concentration condition on yes instances, exactly characterizes NP. - QIP_{U}L is contained in P and contains SAC¹ ∪ BQL, where SAC¹ denotes problems solvable by classical logarithmic-depth, semi-unbounded fan-in circuits. However, this distinction vanishes when m is constant. Our results further indicate that (pinching) intermediate measurements uniquely impact space-bounded quantum interactive proofs, unlike in space-bounded quantum computation, where BQL = BQ_{U}L. We also introduce space-bounded unitary quantum statistical zero-knowledge (QSZK_{U}L), a specific form of QIP_{U}L proof systems with statistical zero-knowledge against any verifier. This class is a space-bounded variant of quantum statistical zero-knowledge (QSZK) defined by Watrous (SICOMP 2009). We prove that QSZK_{U}L = BQL, implying that the statistical zero-knowledge property negates the computational advantage typically gained from the interaction.
Cite as

François Le Gall, Yupan Liu, Harumichi Nishimura, and Qisheng Wang. Space-Bounded Quantum Interactive Proof Systems. In 40th Computational Complexity Conference (CCC 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 339, pp. 17:1-17:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{legall_et_al:LIPIcs.CCC.2025.17,
  author =	{Le Gall, Fran\c{c}ois and Liu, Yupan and Nishimura, Harumichi and Wang, Qisheng},
  title =	{{Space-Bounded Quantum Interactive Proof Systems}},
  booktitle =	{40th Computational Complexity Conference (CCC 2025)},
  pages =	{17:1--17:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-379-9},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{339},
  editor =	{Srinivasan, Srikanth},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2025.17},
  URN =		{urn:nbn:de:0030-drops-237115},
  doi =		{10.4230/LIPIcs.CCC.2025.17},
  annote =	{Keywords: Intermediate measurements, Quantum interactive proofs, Space-bounded quantum computation}
}
Document
DOI: 10.4230/LIPIcs.OPODIS.2017.17
Mutual Exclusion Algorithms with Constant RMR Complexity and Wait-Free Exit Code

Authors: Rotem Dvir and Gadi Taubenfeld

Published in: LIPIcs, Volume 95, 21st International Conference on Principles of Distributed Systems (OPODIS 2017)

Abstract
Two local-spinning queue-based mutual exclusion algorithms are presented that have several de- sired properties: (1) their exit codes are wait-free, (2) they satisfy FIFO fairness, (3) they have constant RMR complexity in both the CC and the DSM models, (4) it is not assumed that the number of processes, n, is a priori known, that is, processes may appear or disappear intermit- tently, (5) they use only O(n) shared memory locations, and (6) they make no assumptions on what and how memory is allocated. The algorithms are inspired by J. M. Mellor-Crummey and M. L. Scott famous MCS queue- based algorithm [13] which, except for not having a wait-free exit code, satisfies similar properties. A drawback of the MCS algorithm is that executing the exit code (i.e., releasing a lock) requires spinning – a process executing its exit code may need to wait for the process that is behind it in the queue to take a step before it can proceed. The two new algorithms overcome this drawback while preserving the simplicity and elegance of the original algorithm. Our algorithms use exactly the same atomic instruction set as the original MCS algorithm, namely: read, write, fetch-and-store and compare-and-swap. In our second algorithm it is possible to recycle memory locations so that if there are L mutual exclusion locks, and each process accesses at most one lock at a time, then the algorithm needs only O(L + n) space, as compared to O(Ln) needed by our first algorithm.
Cite as

Rotem Dvir and Gadi Taubenfeld. Mutual Exclusion Algorithms with Constant RMR Complexity and Wait-Free Exit Code. In 21st International Conference on Principles of Distributed Systems (OPODIS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 95, pp. 17:1-17:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{dvir_et_al:LIPIcs.OPODIS.2017.17,
  author =	{Dvir, Rotem and Taubenfeld, Gadi},
  title =	{{Mutual Exclusion Algorithms with Constant RMR Complexity and Wait-Free Exit Code}},
  booktitle =	{21st International Conference on Principles of Distributed Systems (OPODIS 2017)},
  pages =	{17:1--17:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-061-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{95},
  editor =	{Aspnes, James and Bessani, Alysson and Felber, Pascal and Leit\~{a}o, Jo\~{a}o},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2017.17},
  URN =		{urn:nbn:de:0030-drops-86523},
  doi =		{10.4230/LIPIcs.OPODIS.2017.17},
  annote =	{Keywords: Mutual exclusion, locks, local-spinning, cache coherent, distributed shared memory, RMR complexity}
}
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