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algorithms/discrete_poisson_solver/discrete_poisson_solver.ipynb
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algorithms/discrete_poisson_solver/discrete_poisson_solver.qmod
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,280 @@ | ||
| qfunc qsct_2d(xy_variable: qnum[2]) { | ||
| qst_type2(xy_variable[0]); | ||
| qct_type2(xy_variable[1]); | ||
| } | ||
|
|
||
| qfunc powered_hamiltonian_evolution<hamiltonian: PauliTerm[], scaling: real, p: int>(qba: qbit[]) { | ||
| suzuki_trotter<hamiltonian, p * ((-6.28318530718) * scaling), 1, 1>(qba); | ||
| } | ||
|
|
||
| qfunc inverse_amplitude_load<prefactor: real>(phase: qnum, ind: qbit) { | ||
| ind *= prefactor / phase; | ||
| } | ||
|
|
||
| qfunc matrix_inversion_HHL<prefactor: real, my_unitary: qfunc <arg0: int>(arg1: qbit[])>(state: qbit[], phase: qnum, output indicator: qbit) { | ||
| allocate<1>(indicator); | ||
| within { | ||
| qpe_flexible<lambda<power>() { | ||
| my_unitary<power>(state); | ||
| }>(phase); | ||
| } apply { | ||
| inverse_amplitude_load<prefactor>(phase, indicator); | ||
| } | ||
| } | ||
|
|
||
| qfunc main(output x_variable: qnum<3, False, 0>, output y_variable: qnum<3, False, 0>, output phase: qnum, output indicator: qbit) { | ||
| xy_variable: qnum<3, False, 0>[2]; | ||
| prepare_amplitudes<[ | ||
| 0.000929993206, | ||
| 0.006286469531, | ||
| 0.012502019419, | ||
| 0.01640293531, | ||
| 0.01640293531, | ||
| 0.012502019419, | ||
| 0.006286469531, | ||
| 0.000929993206, | ||
| 0.006286469531, | ||
| 0.042483535101, | ||
| 0.084462252894, | ||
| 0.110795378713, | ||
| 0.110795378713, | ||
| 0.084462252894, | ||
| 0.042483535101, | ||
| 0.006286469531, | ||
| 0.012502019419, | ||
| 0.084462252894, | ||
| 0.167861987331, | ||
| 0.220148535874, | ||
| 0.220148535874, | ||
| 0.167861987331, | ||
| 0.084462252894, | ||
| 0.012502019419, | ||
| 0.01640293531, | ||
| 0.110795378713, | ||
| 0.220148535874, | ||
| 0.288681749865, | ||
| 0.288681749865, | ||
| 0.220148535874, | ||
| 0.110795378713, | ||
| 0.01640293531, | ||
| 0.01640293531, | ||
| 0.110795378713, | ||
| 0.220148535874, | ||
| 0.288681749865, | ||
| 0.288681749865, | ||
| 0.220148535874, | ||
| 0.110795378713, | ||
| 0.01640293531, | ||
| 0.012502019419, | ||
| 0.084462252894, | ||
| 0.167861987331, | ||
| 0.220148535874, | ||
| 0.220148535874, | ||
| 0.167861987331, | ||
| 0.084462252894, | ||
| 0.012502019419, | ||
| 0.006286469531, | ||
| 0.042483535101, | ||
| 0.084462252894, | ||
| 0.110795378713, | ||
| 0.110795378713, | ||
| 0.084462252894, | ||
| 0.042483535101, | ||
| 0.006286469531, | ||
| 0.000929993206, | ||
| 0.006286469531, | ||
| 0.012502019419, | ||
| 0.01640293531, | ||
| 0.01640293531, | ||
| 0.012502019419, | ||
| 0.006286469531, | ||
| 0.000929993206 | ||
| ], 0.0>(xy_variable); | ||
| allocate<6>(phase); | ||
| within { | ||
| qsct_2d(xy_variable); | ||
| } apply { | ||
| matrix_inversion_HHL<0.015625, lambda<p>(target) { | ||
| powered_hamiltonian_evolution<[ | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=2.25 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z | ||
| ], | ||
| coefficient=-0.25 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::I | ||
| ], | ||
| coefficient=-0.520598050073 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::Z | ||
| ], | ||
| coefficient=-0.020598050073 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=-1.256834873031 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::Z | ||
| ], | ||
| coefficient=-0.049728091845 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::Z, | ||
| Pauli::I | ||
| ], | ||
| coefficient=-0.103553390593 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::Z, | ||
| Pauli::Z | ||
| ], | ||
| coefficient=0.103553390593 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=1.75 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=-0.25 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=-0.520598050073 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=0.020598050073 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=-1.256834873031 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=0.049728091845 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::Z, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=0.103553390593 | ||
| }, | ||
| PauliTerm { | ||
| pauli=[ | ||
| Pauli::Z, | ||
| Pauli::Z, | ||
| Pauli::Z, | ||
| Pauli::I, | ||
| Pauli::I, | ||
| Pauli::I | ||
| ], | ||
| coefficient=0.103553390593 | ||
| } | ||
| ], 0.101321183642, p>(target); | ||
| }>(xy_variable, phase, indicator); | ||
| } | ||
| xy_variable -> {x_variable, y_variable}; | ||
| } | ||
|
|
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algorithms/discrete_poisson_solver/discrete_poisson_solver.synthesis_options.json
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| { | ||
| "constraints": { | ||
| "max_width": 18 | ||
| } | ||
| } |