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, Literal, Variable, VertExprArray
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum import I
from proveit.physics.quantum.QFT import InverseFourierTransform
from proveit.physics.quantum.QPE import QPE1
from proveit.physics.quantum.circuits import Gate, MultiQubitElem, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(Literal("t", theory = "proveit.physics.quantum.QPE"), Literal("s", theory = "proveit.physics.quantum.QPE"))
sub_expr3 = MultiQubitElem(element = Gate(operation = QPE1(Literal("U", theory = "proveit.physics.quantum.QPE"), Literal("t", theory = "proveit.physics.quantum.QPE")), part = sub_expr1), targets = Interval(one, sub_expr2))
expr = Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, sub_expr3, one, Literal("t", theory = "proveit.physics.quantum.QPE")), ExprRange(sub_expr1, sub_expr3, Add(Literal("t", theory = "proveit.physics.quantum.QPE"), one), sub_expr2)], [ExprRange(sub_expr1, MultiQubitElem(element = Gate(operation = InverseFourierTransform(Literal("t", theory = "proveit.physics.quantum.QPE")), part = sub_expr1), targets = Interval(one, Literal("t", theory = "proveit.physics.quantum.QPE"))), one, Literal("t", theory = "proveit.physics.quantum.QPE")), ExprRange(sub_expr1, Gate(operation = I).with_implicit_representation(), one, Literal("s", theory = "proveit.physics.quantum.QPE"))]))

# 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{
& \multigate{1}{\textrm{QPE}_1\left(U, t\right)} & \gate{{\mathrm {FT}}^{\dag}_{t}} & { /^{t} } \qw \\
& \ghost{\textrm{QPE}_1\left(U, t\right)} & { /^{s} } \qw & { /^{s} } \qw
} \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
3	ExprTuple	5, 6
4	ExprTuple	7, 8
5	ExprRange	lambda_map: 9 start_index: 37 end_index: 46
6	ExprRange	lambda_map: 9 start_index: 10 end_index: 34
7	ExprRange	lambda_map: 11 start_index: 37 end_index: 46
8	ExprRange	lambda_map: 12 start_index: 37 end_index: 45
9	Lambda	parameter: 36 body: 13
10	Operation	operator: 40 operands: 14
11	Lambda	parameter: 36 body: 15
12	Lambda	parameter: 36 body: 17
13	Operation	operator: 19 operands: 18
14	ExprTuple	46, 37
15	Operation	operator: 19 operands: 20
16	ExprTuple	36
17	Operation	operator: 29 operands: 21
18	NamedExprs	element: 22 targets: 23
19	Literal
20	NamedExprs	element: 24 targets: 25
21	NamedExprs	operation: 26
22	Operation	operator: 29 operands: 27
23	Operation	operator: 31 operands: 28
24	Operation	operator: 29 operands: 30
25	Operation	operator: 31 operands: 32
26	Literal
27	NamedExprs	operation: 33 part: 36
28	ExprTuple	37, 34
29	Literal
30	NamedExprs	operation: 35 part: 36
31	Literal
32	ExprTuple	37, 46
33	Operation	operator: 38 operands: 39
34	Operation	operator: 40 operands: 41
35	Operation	operator: 42 operand: 46
36	Variable
37	Literal
38	Literal
39	ExprTuple	44, 46
40	Literal
41	ExprTuple	46, 45
42	Literal
43	ExprTuple	46
44	Literal
45	Literal
46	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 ¶