Expression of type Qcircuit ¶

from the theory of proveit.physics.quantum.QPE ¶

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprRange, Variable, VertExprArray
from proveit.numbers import Interval, one
from proveit.physics.quantum import Qmult
from proveit.physics.quantum.QFT import InverseFourierTransform
from proveit.physics.quantum.QPE import _psi__t_ket, _t
from proveit.physics.quantum.circuits import Gate, Input, MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Interval(one, _t)
sub_expr3 = InverseFourierTransform(_t)
expr = Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Input(state = _psi__t_ket, part = sub_expr1), targets = sub_expr2), one, _t)], [ExprRange(sub_expr1, MultiQubitElem(element = Gate(operation = sub_expr3, part = sub_expr1), targets = sub_expr2), one, _t)], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = Qmult(sub_expr3, _psi__t_ket), part = sub_expr1), targets = sub_expr2), one, _t)]))

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi_{t} \rangle} & \gate{{\mathrm {FT}}^{\dag}_{t}} & \qout{{\mathrm {FT}}^{\dag}_{t} \thinspace \lvert \psi_{t} \rangle}
} \end{array}

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4, 5
3	ExprTuple	6
4	ExprTuple	7
5	ExprTuple	8
6	ExprRange	lambda_map: 9 start_index: 34 end_index: 42
7	ExprRange	lambda_map: 10 start_index: 34 end_index: 42
8	ExprRange	lambda_map: 11 start_index: 34 end_index: 42
9	Lambda	parameter: 33 body: 12
10	Lambda	parameter: 33 body: 13
11	Lambda	parameter: 33 body: 15
12	Operation	operator: 18 operands: 16
13	Operation	operator: 18 operands: 17
14	ExprTuple	33
15	Operation	operator: 18 operands: 19
16	NamedExprs	element: 20 targets: 23
17	NamedExprs	element: 21 targets: 23
18	Literal
19	NamedExprs	element: 22 targets: 23
20	Operation	operator: 24 operands: 25
21	Operation	operator: 26 operands: 27
22	Operation	operator: 28 operands: 29
23	Operation	operator: 30 operands: 31
24	Literal
25	NamedExprs	state: 38 part: 33
26	Literal
27	NamedExprs	operation: 37 part: 33
28	Literal
29	NamedExprs	state: 32 part: 33
30	Literal
31	ExprTuple	34, 42
32	Operation	operator: 35 operands: 36
33	Variable
34	Literal
35	Literal
36	ExprTuple	37, 38
37	Operation	operator: 39 operand: 42
38	Operation	operator: 40 operand: 42
39	Literal
40	Literal
41	ExprTuple	42
42	Literal

Expression of type Qcircuit¶

from the theory of proveit.physics.quantum.QPE¶

Expression of type Qcircuit ¶

from the theory of proveit.physics.quantum.QPE ¶