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Quantum Computing With the Q# Language
This document introduces the concepts behind quantum computing and the Q# programming language. It discusses that quantum computing algorithms use quantum physics and allow for potentially faster computation of problems like counting Bitcoins or hacking encryption. The core concepts covered include qubits, superposition, entanglement, gates like NOT and Hadamard, and how operations can be performed in parallel on multiple qubits. Resources for learning more about Q# and quantum computing are provided at the end.
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Quantum Computing With the Q# Language
- 1. Quantum Computing Withthe Q# Language Alexander Laptev “Devbridge Group”
- 2. What’s the QuantumComputing? • Algorithms over an analogue machine, based on the cutting edge physics • Allows (in sweet dreams) to count Bitcoins and hack RSA quickly • Allows to generate random bits. “Absolutely” random. • Allows to say “I know quantum physics”
- 3. What does QCconsist of? Physics Math Applied Math Quantum Math (matrix multiplication) Quantum schemes
- 4. QC Math (QubitsModel) • Qubit and Superposition • Operators • Entanglement + Parallelism
- 5. Qubit and Superposition 50/500/10025/75
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- 9. Operations Over Qubit Hadamard(H) Gate
- 10. Operations Over Qubit Hadamard(H) Gate: simplify
- 11. Operations Over Qubit Hadamard(H) Gate: matrix
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- 14. Entanglement + Parallelism FewControlled Operations
- 15. Entanglement + Parallelism ParallelMultiplication
- 16. Links MSDN blog: here. Q#Documentation: here. Coursera: EN / RU. Full QC (Mike and Ike): here. Blog: here. Quantum Mech (Russian): here. Meetup code samples: on Github.
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Editor's Notes
- #7 DIrak,’s notation |0>. |0> and |1> - that’s vectors. |0> + |1> is not equal |1>. Thgouh, |0> + 2|0> = 3|0>. If you have 2 qubits, and they give the same result on measurement – that’s doesn’t mean they are in the same state
- #9 Important: one qubit affects the whole superposition. One operation affects 2 “sub-states”.
- #10 Balanced state. H|0> gives the same 50/50 on measurement as H|1> Looks ugly
- #11 |0> is vector, so we can multiply it on the constant
- #12 Zero is affected by … One is affected by … Remove alpha and beta (they relate to original state), and extract 1/sqrt{2}
- #16 https://algassert.com/quirk#circuit={%22cols%22:[[%22H%22,%22H%22,%22H%22,%22H%22],[%22~8q1r%22],[%22%E2%80%A2%22,%22%E2%80%A2%22,%22%E2%80%A2%22,%22%E2%80%A2%22,%22%E2%80%A2%22,%22%E2%80%A2%22,%22%E2%80%A2%22,%22%E2%80%A2%22,%22X%22]],%22gates%22:[{%22id%22:%22~50sf%22,%22name%22:%22Init%22,%22circuit%22:{%22cols%22:[[%22H%22,%22H%22]]}},{%22id%22:%22~8q1r%22,%22name%22:%22Mul%22,%22circuit%22:{%22cols%22:[[%22%E2%80%A2%22,1,1,1,%22X%22],[1,%22%E2%80%A2%22,1,1,1,%22X%22],[1,1,%22%E2%80%A2%22,1,1,1,%22X%22],[1,1,1,%22%E2%80%A2%22,1,1,1,%22X%22]]}}]}