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regenerate notebooks
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qualtran/bloqs/arithmetic/comparison.ipynb

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"## `BiQubitsMixer`\n",
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"Implements the COMPARE2 subroutine from the reference (Fig. 1)\n",
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"Implements the COMPARE2 subroutine from the reference.\n",
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"\n",
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"This gates mixes the values in a way that preserves the result of comparison.\n",
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"The signature being compared are 2-qubit signature where\n",
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"https://github.com/quantumlib/Qualtran/issues/389\n",
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"\n",
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"#### References\n",
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" - [Supplementary Materials: Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians](https://static-content.springer.com/esm/art%3A10.1038%2Fs41534-018-0071-5/MediaObjects/41534_2018_71_MOESM1_ESM.pdf).\n"
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" - [Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians](https://arxiv.org/abs/1711.10460). Berry et al. 2017. Appendix B. Fig 3.\n"
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"Applies U|a>|b>|0>|0> = |a> |a=b> |(a<b)> |(a>b)>\n",
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"\n",
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"#### References\n",
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" - Supplementary Materials: Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians. Figure 3. https://static-content.springer.com/esm/art%3A10.1038%2Fs41534-018-0071-5/MediaObjects/41534_2018_71_MOESM1_ESM.pdf\n"
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" - [Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians](https://arxiv.org/abs/1711.10460). Berry et al. 2017. Appendix B. Fig 5.\n"
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"\n",
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"#### References\n",
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" - [Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity](https://arxiv.org/abs/1805.03662). \n",
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" - [Supplementary Materials: Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians](https://static-content.springer.com/esm/art%3A10.1038%2Fs41534-018-0071-5/MediaObjects/41534_2018_71_MOESM1_ESM.pdf).\n"
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" - [Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians](https://arxiv.org/abs/1711.10460). Berry et al. 2017. Appendix B.\n"
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qualtran/bloqs/basic_gates/rotation.ipynb

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"\n",
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"#### References\n",
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" - [Elementary gates for quantum computation](https://arxiv.org/abs/quant-ph/9503016). Barenco et al. 1995. Special case of Lemma 5.4.\n",
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" - [Is Controlled(𝑅𝑧(𝜃)) more expensive than Controlled(𝑍𝑡) on the surface code?](https://quantumcomputing.stackexchange.com/a/40012). Adam Zalcman. 2024.\n"
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" - [Is Controlled(Rz(theta)) more expensive than Controlled(Z^t) on the surface code?](https://quantumcomputing.stackexchange.com/a/40012). Adam Zalcman. 2024.\n"
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]
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qualtran/bloqs/cryptography/ecc/ecc.ipynb

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"#### References\n",
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" - [How to compute a 256-bit elliptic curve private key with only 50 million Toffoli gates](https://arxiv.org/abs/2306.08585). Litinski. 2023. Section 1, eq. (3) and (4).\n",
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" - [Quantum resource estimates for computing elliptic curve discrete logarithms](https://arxiv.org/abs/1706.06752). Roetteler et al. 2017. Algorithm 1 and Figure 10.\n",
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" - [https://github.com/microsoft/QuantumEllipticCurves/blob/dbf4836afaf7a9fab813cbc0970e65af85a6f93a/MicrosoftQuantumCrypto/EllipticCurves.qs#L456](QuantumQuantumCrypto). `DistinctEllipticCurveClassicalPointAddition`.\n"
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" - [Microsoft Quantum Crypto (GitHub)](https://github.com/microsoft/QuantumEllipticCurves/blob/dbf4836afaf7a9fab813cbc0970e65af85a6f93a/MicrosoftQuantumCrypto/EllipticCurves.qs#L456). Jaques et al. 2020. `DistinctEllipticCurveClassicalPointAddition`.\n"
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qualtran/bloqs/gf_arithmetic/gf2_inverse.ipynb

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" - `junk`: Output RIGHT register of size $m$ and shape ($m - 2$) that stores results from intermediate multiplications. \n",
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"\n",
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"#### References\n",
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" - [Efficient quantum circuits for binary elliptic curve arithmetic: reducing T -gate complexity](https://arxiv.org/abs/1209.6348). Section 2.3\n",
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" - [Structure of parallel multipliers for a class of fields GF(2^m)](https://doi.org/10.1016/0890-5401(89)90045-X)\n"
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" - [Efficient quantum circuits for binary elliptic curve arithmetic: reducing T-gate complexity](https://arxiv.org/abs/1209.6348). Amento et al. 2012. Section 2.3\n",
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" - [Structure of parallel multipliers for a class of fields GF(2^m)](https://doi.org/10.1016/0890-5401(89)90045-X). Itoh and Tsujii. 1989.\n"
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