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, t
from proveit.linear_algebra import TensorProd
from proveit.numbers import Add, Interval, Neg, one, two, zero
from proveit.physics.quantum.QPE import _ket_u, _psi_t_ket, _s
from proveit.physics.quantum.circuits import MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(t, _s)
sub_expr3 = TensorProd(_psi_t_ket, _ket_u)
sub_expr4 = Interval(one, sub_expr2)
expr = Qcircuit(vert_expr_array = VertExprArray([MultiQubitElem(element = Output(state = sub_expr3, part = one), targets = sub_expr4), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr3, part = Add(sub_expr1, t)), targets = sub_expr4), Add(Neg(t), two), zero), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr3, part = sub_expr1), targets = sub_expr4), Add(t, one), sub_expr2).with_wrapping_at(2,6)]))

# 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{
& \multiqout{2}{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle} \\
& \ghostqout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle} \\
& \ghostqout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle} \\
& \qout{\vdots} \qwx[1] \\
& \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~0 + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} \qwx[1] \\
& \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~t + 1~\mbox{on}~\{1~\ldotp \ldotp~t + s\}}
} \end{array}

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	ExprTuple	4, 5, 6
4	Operation	operator: 23 operands: 7
5	ExprRange	lambda_map: 8 start_index: 9 end_index: 10
6	ExprRange	lambda_map: 11 start_index: 12 end_index: 37
7	NamedExprs	element: 13 targets: 28
8	Lambda	parameter: 43 body: 14
9	Operation	operator: 41 operands: 15
10	Literal
11	Lambda	parameter: 43 body: 17
12	Operation	operator: 41 operands: 18
13	Operation	operator: 30 operands: 19
14	Operation	operator: 23 operands: 20
15	ExprTuple	21, 22
16	ExprTuple	43
17	Operation	operator: 23 operands: 24
18	ExprTuple	49, 36
19	NamedExprs	state: 35 part: 36
20	NamedExprs	element: 25 targets: 28
21	Operation	operator: 26 operand: 49
22	Literal
23	Literal
24	NamedExprs	element: 27 targets: 28
25	Operation	operator: 30 operands: 29
26	Literal
27	Operation	operator: 30 operands: 31
28	Operation	operator: 32 operands: 33
29	NamedExprs	state: 35 part: 34
30	Literal
31	NamedExprs	state: 35 part: 43
32	Literal
33	ExprTuple	36, 37
34	Operation	operator: 41 operands: 38
35	Operation	operator: 39 operands: 40
36	Literal
37	Operation	operator: 41 operands: 42
38	ExprTuple	43, 49
39	Literal
40	ExprTuple	44, 45
41	Literal
42	ExprTuple	49, 46
43	Variable
44	Operation	operator: 47 operand: 49
45	Literal
46	Literal
47	Literal
48	ExprTuple	49
49	Variable

Expression of type Qcircuit¶

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

Expression of type Qcircuit ¶

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