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Everything about BQP

Computational complexity class of problems

In computational complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial time, with an error probability of at most 1/3 for all instances. It is the quantum analogue to the complexity class BPP. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: BQPA 5-minute orientation
  2. Skim a recent paper: <p>Hybrid Quantum-Classical Implementation of the Harrow–Hassidim–Lloyd Algorithm: Bounded-Error Quantum Polynomial Time (BQP)-Completeness of Matrix Inversion and Error Mitigation for Noisy Intermediate-Scale Quantum (NISQ) Devices</p>Influential work since 2022
  3. Pick up a classic book: Big queer poems ; Little queer poemsThe most-reprinted book on the subject
  4. Read the landmark paper: BQP-completeness of scattering in scalar quantum field theoryCited 90 times
  5. Go sideways: PostBQPA closely related topic
  6. Go sideways: Quantum complexity theoryA closely related topic

đź“– Definitions

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🗂️ The subject at a glance

  1. Definition
  2. Relationship to other complexity classes

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

đź”— Related topics