Create a Bloq that represents initialization in the Coset representation #1602
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mpharrigan
reviewed
Apr 4, 2025
| \frac{1}{\sqrt{2^{c_{pad}}}}\sum_{j=0}^{2^{c_{pad}}} \ket{jN + k} | ||
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| This bloq can be built of only clifford gates ... namely $c_{pad}$ `H` gates on the padding |
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comma instead of ellipses (...)
mpharrigan
reviewed
Apr 4, 2025
| $$ | ||
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| This bloq can be built of only clifford gates ... namely $c_{pad}$ `H` gates on the padding | ||
| qubitsfollowed by `CNOT` gates implementing the reversible operation $jN+k$. |
mpharrigan
reviewed
Apr 4, 2025
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| - [Shor's algorithm with fewer (pure) qubits](https://arxiv.org/abs/quant-ph/0601097) | ||
| section 4. | ||
| - [How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits](https://arxiv.org/abs/1905.09749) | ||
| section 2.4 |
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reference format: use newline to separate entries. Don't use -. Include author and year
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did you consider making a new |
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This the PR in a series of PRs that reproduce https://arxiv.org/abs/1905.09749
In How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits they work in the Coset represntation rather than the computational basis representation ... this is done by