Quantum Information and Quantum Computation Open Problem Zoo

The QIQCOP Zoo is a place to explore research problems in quantum information and quantum computation. Each problem page brings together a clear statement, the background needed to understand it, key references, and what is known so far.

Browse by field or topic, follow the sources, or share a problem you think belongs here. The collection grows through contributions from the community and review by the maintainers. Problem pages keep permanent links, so you can return to them as the research develops.

A problem page may be out of date or contain errors in its statement, status, progress, or references. Please treat each page as a guide to the literature and check the primary sources and recent work before relying on it or investing effort in a problem. If you find something to correct, tell us.

We would also like to highlight the following projects in the research community:

• Open Quantum Problems
• Prove2Me

We collect meaningful, significant unsolved problems in quantum information and quantum computation. Each problem should be formulated precisely in mathematical language, with clear assumptions and an unambiguous criterion for a solution.

A problem is marked Solved when a complete proof or counterexample has been made public in a preprint or a published paper, and its page states whether that result has been peer reviewed. Partial results are recorded as progress and the problem remains Unsolved. The status records what the cited sources establish. The maintainers do not verify proofs. A solved problem stays in the zoo with its resolution and supporting references.

There are three ways to take part. You can propose a problem, contribute through GitHub, or report substantial progress. The maintainers review every contribution, decide what is recorded, and may decline a proposal or an update.

Propose a problem

Contribute through GitHub

Report substantial progress

Cite the primary sources for any mathematical claim. To cite a problem page for its statement, status, or stable identifier, use the Cite button on that page. To cite the zoo as a whole:

@misc{qiqcop_zoo,
  title = {Quantum Information and Quantum Computation Open Problem Zoo (QIQCOP Zoo)},
  howpublished = {\url{https://qiqc-op.com/}},
  year = {2026},
  note = {Accessed 2026-09-24}
}

Connect your AI assistant through the Model Context Protocol (MCP) to search the zoo, read problem statements and references, and gather the known results and remaining questions for a research session.

Use a client that supports remote MCP servers over Streamable HTTP. Connect with the address below; no download, local setup, or API key is needed to read the catalog.

1. Add the server. In your client's MCP or connector settings, add a remote server named quantum-open-problems. Paste this server URL and choose Streamable HTTP if a transport is requested:

   https://api.qiqc-op.com/mcp

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2. Connect your assistant. Save or enable the connection. For clients that accept URL entries in an mcpServers configuration:
   JSON configuration for clients using mcpServers

   Add this entry to your existing configuration, then reload the client's MCP connection. Some clients use a settings form instead.

   {
     "mcpServers": {
       "quantum-open-problems": {
         "url": "https://api.qiqc-op.com/mcp"
       }
     }
   }

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3. Ask a research question. For example: “Use the quantum-open-problems MCP to find unsolved problems about quantum channel capacity, then summarize one problem's known progress and references.” The assistant can use search_problems, get_problem, read_problem, list_references, and build_context.

The connection reads the current hosted catalog, including newly published problems. If it fails, check the catalog service status and confirm that your client supports remote MCP. The MCP setup and tool guide also covers local clients and, for collaborators with an API key, authenticated research contributions. For direct downloads, the JSON catalog, taxonomy, and agent guide are available.

The software uses Apache-2.0. New original catalog contributions use CC BY 4.0, allowing sharing, adaptation, and commercial use with attribution, license information, and an indication of changes. Contributors retain their copyright.

Cited papers and other third-party material retain their own terms. See the licensing scope and permissions, content license, and retained copyright notices. Cite the primary sources for mathematical results and preserve the supplied contributor credits when reusing licensed text.

This project is developed and maintained by Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng, Shihao Ru, and Naixu Guo.

We thank GaugeForge for its financial support of this project.

Mathematics is typeset with MathJax.