Index

_

__init__() (qdecomp.rings.rings.D method) (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Dsqrt2 method) (qdecomp.rings.rings.Zomega method) (qdecomp.rings.rings.Zsqrt2 method) (qdecomp.utils.grid_problem.grid_operator.GridOperator method) (qdecomp.utils.grid_problem.state.State method) (qdecomp.utils.qgate.QGate method)

A

a (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Dsqrt2 property) (qdecomp.rings.rings.Zomega property) (qdecomp.rings.rings.Zsqrt2 property)

are_sim_Zsqrt2() (in module qdecomp.utils.diophantine.diophantine_equation) as_float() (qdecomp.utils.grid_problem.grid_operator.GridOperator method) as_mpfloat() (qdecomp.utils.grid_problem.grid_operator.GridOperator method) assert_steiner_ellipse() (in module qdecomp.utils.steiner_ellipse)

B

b (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Dsqrt2 property) (qdecomp.rings.rings.Zomega property) (qdecomp.rings.rings.Zsqrt2 property) (qdecomp.utils.grid_problem.state.State property)

beta (qdecomp.utils.grid_problem.state.State property) bias (qdecomp.utils.grid_problem.state.State property)

C

c (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Zomega property) canonical_decomp() (in module qdecomp.decompositions.tqg) canonical_gate() (in module qdecomp.utils.gates) CH (in module qdecomp.utils.gates) CH1 (in module qdecomp.utils.gates) circuit_decomp() (in module qdecomp.decompositions.circuit) CNOT (in module qdecomp.utils.gates)

CNOT1 (in module qdecomp.utils.gates) cnot_decomp() (in module qdecomp.decompositions.tqg) complex_conjugate() (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Zomega method) conjugate() (qdecomp.utils.grid_problem.grid_operator.GridOperator method) CY (in module qdecomp.utils.gates) CY1 (in module qdecomp.utils.gates) CZ (in module qdecomp.utils.gates) CZ1 (in module qdecomp.utils.gates)

D

D (class in qdecomp.rings.rings) d (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Zomega property) dag() (qdecomp.utils.grid_problem.grid_operator.GridOperator method)

DCNOT (in module qdecomp.utils.gates) denom (qdecomp.rings.rings.D property) det() (qdecomp.utils.grid_problem.grid_operator.GridOperator method) Domega (class in qdecomp.rings.rings) Dsqrt2 (class in qdecomp.rings.rings)

E

e (qdecomp.utils.grid_problem.state.State property) ellipse_bbox() (in module qdecomp.utils.steiner_ellipse) epsilon (qdecomp.utils.grid_problem.state.State property) (qdecomp.utils.qgate.QGate property)

euclidean_div_Zomega() (in module qdecomp.utils.diophantine.diophantine_equation) euclidean_div_Zsqrt2() (in module qdecomp.utils.diophantine.diophantine_equation) exact_synthesis_alg() (in module qdecomp.utils.exact_synthesis.exact_synthesis)

F

find_grid_operator() (in module qdecomp.utils.grid_problem.grid_problem) find_points() (in module qdecomp.utils.grid_problem.grid_problem) find_special_grid_operator() (in module qdecomp.utils.grid_problem.grid_problem) from_matrix() (qdecomp.utils.qgate.QGate class method) from_ring() (qdecomp.rings.rings.Domega class method) (qdecomp.rings.rings.Dsqrt2 class method) (qdecomp.rings.rings.Zomega class method) (qdecomp.rings.rings.Zsqrt2 class method)

from_sequence() (qdecomp.utils.qgate.QGate class method) from_tuple() (qdecomp.utils.qgate.QGate class method)

G

gcd_Zomega() (in module qdecomp.utils.diophantine.diophantine_equation) generate_s3() (in module qdecomp.utils.exact_synthesis.s3_generator)

generate_sequences() (in module qdecomp.utils.exact_synthesis.s3_generator) get_matrix_from_name() (in module qdecomp.utils.gates) GridOperator (class in qdecomp.utils.grid_problem.grid_operator)

H

H (in module qdecomp.utils.gates)

I

I (in module qdecomp.utils.gates) imag() (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Zomega method) init_matrix (qdecomp.utils.qgate.QGate property) initialization() (in module qdecomp.utils.grid_problem.rz_approx) integer_fact() (in module qdecomp.utils.diophantine.diophantine_equation) inv() (qdecomp.utils.grid_problem.grid_operator.GridOperator method) INV_DCNOT (in module qdecomp.utils.gates) is_d (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Dsqrt2 property) (qdecomp.rings.rings.Zomega property) is_dsqrt2 (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Zomega property) is_hermitian() (in module qdecomp.utils.gates_utils) is_inside_ellipse() (in module qdecomp.utils.steiner_ellipse)

is_integer (qdecomp.rings.rings.D property) (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Dsqrt2 property) (qdecomp.rings.rings.Zomega property) (qdecomp.rings.rings.Zsqrt2 property) is_orthogonal() (in module qdecomp.utils.gates_utils) is_special() (in module qdecomp.utils.gates_utils) is_square() (in module qdecomp.utils.diophantine.diophantine_equation) is_unit_Zsqrt2() (in module qdecomp.utils.diophantine.diophantine_equation) is_unitary() (in module qdecomp.utils.gates_utils) is_zomega (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Dsqrt2 property) is_zsqrt2 (qdecomp.rings.rings.Domega property) (qdecomp.rings.rings.Dsqrt2 property) (qdecomp.rings.rings.Zomega property) ISWAP (in module qdecomp.utils.gates)

K

known_decomp() (in module qdecomp.decompositions.tqg)

kronecker_decomp() (in module qdecomp.decompositions.tqg)

L

legendre_symbol() (in module qdecomp.utils.diophantine.tonelli_shanks)

M

MAGIC (in module qdecomp.utils.gates) matrix (qdecomp.utils.qgate.QGate property) module qdecomp.decompositions.circuit qdecomp.decompositions.sqg qdecomp.decompositions.tqg qdecomp.plot.plot_grid_problem qdecomp.plot.plot_steiner_ellipse qdecomp.rings.rings qdecomp.utils.diophantine.diophantine_equation qdecomp.utils.diophantine.tonelli_shanks qdecomp.utils.exact_synthesis.exact_synthesis qdecomp.utils.exact_synthesis.s3_generator qdecomp.utils.gates qdecomp.utils.gates_utils qdecomp.utils.grid_problem.grid_algorithms qdecomp.utils.grid_problem.grid_operator qdecomp.utils.grid_problem.grid_problem qdecomp.utils.grid_problem.rz_approx qdecomp.utils.grid_problem.state qdecomp.utils.qgate qdecomp.utils.steiner_ellipse

mp_imag() (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Zomega method) mp_real() (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Zomega method) mpcomplex() (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Zomega method) mpfloat() (qdecomp.rings.rings.D method) (qdecomp.rings.rings.Dsqrt2 method) (qdecomp.rings.rings.Zsqrt2 method)

N

name (qdecomp.utils.qgate.QGate property)

num (qdecomp.rings.rings.D property) num_qubits (qdecomp.utils.qgate.QGate property)

O

o4_det_minus1_decomp() (in module qdecomp.decompositions.tqg)

optimize_sequence() (in module qdecomp.utils.exact_synthesis.exact_synthesis)

P

pi_fact_into_xi() (in module qdecomp.utils.diophantine.diophantine_equation) plot_ellipse() (in module qdecomp.plot.plot_steiner_ellipse) plot_grid_problem_1d() (in module qdecomp.plot.plot_grid_problem)

plot_grid_problem_2d() (in module qdecomp.plot.plot_grid_problem) power_pauli_y() (in module qdecomp.utils.gates) power_pauli_z() (in module qdecomp.utils.gates)

Q

qdecomp.decompositions.circuit module qdecomp.decompositions.sqg module qdecomp.decompositions.tqg module qdecomp.plot.plot_grid_problem module qdecomp.plot.plot_steiner_ellipse module qdecomp.rings.rings module qdecomp.utils.diophantine.diophantine_equation module qdecomp.utils.diophantine.tonelli_shanks module qdecomp.utils.exact_synthesis.exact_synthesis module qdecomp.utils.exact_synthesis.s3_generator module

qdecomp.utils.gates module qdecomp.utils.gates_utils module qdecomp.utils.grid_problem.grid_algorithms module qdecomp.utils.grid_problem.grid_operator module qdecomp.utils.grid_problem.grid_problem module qdecomp.utils.grid_problem.rz_approx module qdecomp.utils.grid_problem.state module qdecomp.utils.qgate module qdecomp.utils.steiner_ellipse module QGate (class in qdecomp.utils.qgate)

R

real() (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Zomega method)

rz_decomp() (in module qdecomp.decompositions.sqg)

S

S (in module qdecomp.utils.gates) sde() (qdecomp.rings.rings.Domega method) sequence (qdecomp.utils.qgate.QGate property) sequence_matrix (qdecomp.utils.qgate.QGate property) set_decomposition() (qdecomp.utils.qgate.QGate method) shift() (qdecomp.utils.grid_problem.state.State method) skew (qdecomp.utils.grid_problem.state.State property) so4_decomp() (in module qdecomp.decompositions.tqg) solve_grid_problem_1d() (in module qdecomp.utils.grid_problem.grid_algorithms) solve_grid_problem_2d() (in module qdecomp.utils.grid_problem.grid_algorithms)

solve_usquare_eq_a_mod_p() (in module qdecomp.utils.diophantine.diophantine_equation) solve_xi_eq_ttdag_in_d() (in module qdecomp.utils.diophantine.diophantine_equation) solve_xi_sim_ttdag_in_z() (in module qdecomp.utils.diophantine.diophantine_equation) sqg_decomp() (in module qdecomp.decompositions.sqg) sqrt2_conjugate() (qdecomp.rings.rings.Domega method) (qdecomp.rings.rings.Dsqrt2 method) (qdecomp.rings.rings.Zomega method) (qdecomp.rings.rings.Zsqrt2 method) State (class in qdecomp.utils.grid_problem.state) steiner_ellipse_def() (in module qdecomp.utils.steiner_ellipse) SWAP (in module qdecomp.utils.gates)

T

T (in module qdecomp.utils.gates) target (qdecomp.utils.qgate.QGate property) to_tuple() (qdecomp.utils.qgate.QGate method)

tonelli_shanks_algo() (in module qdecomp.utils.diophantine.tonelli_shanks) tqg_decomp() (in module qdecomp.decompositions.tqg) transform() (qdecomp.utils.grid_problem.state.State method)

U

u4_decomp() (in module qdecomp.decompositions.tqg)

V

V (in module qdecomp.utils.gates)

W

W (in module qdecomp.utils.gates)

X

X (in module qdecomp.utils.gates)

xi_fact() (in module qdecomp.utils.diophantine.diophantine_equation) xi_i_fact_into_ti() (in module qdecomp.utils.diophantine.diophantine_equation)

Y

Y (in module qdecomp.utils.gates)

Z

Z (in module qdecomp.utils.gates) z (qdecomp.utils.grid_problem.state.State property) z_rotational_approximation() (in module qdecomp.utils.grid_problem.rz_approx)

zeta (qdecomp.utils.grid_problem.state.State property) Zomega (class in qdecomp.rings.rings) Zsqrt2 (class in qdecomp.rings.rings) zyz_decomp() (in module qdecomp.decompositions.sqg)