logo

Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

In [1]:
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, ExprTuple, Variable, m
from proveit.numbers import Add, Interval, one, two
from proveit.physics.quantum import ket_plus, var_ket_u
from proveit.physics.quantum.circuits import Input, MultiQubitElem
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Input(state = ket_plus), ExprRange(sub_expr1, MultiQubitElem(element = Input(state = var_ket_u, part = sub_expr1), targets = Interval(two, Add(m, two))), one, Add(m, one)))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert + \rangle} & \qw 
} \end{array},\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert u \rangle~\mbox{part}~1~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \qw 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert u \rangle~\mbox{part}~2~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \qw 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert u \rangle~\mbox{part}~m + 1~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \qw 
} \end{array}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 18
operands: 3
2ExprRangelambda_map: 4
start_index: 14
end_index: 5
3NamedExprsstate: 6
4Lambdaparameter: 23
body: 8
5Operationoperator: 25
operands: 9
6Operationoperator: 10
operand: 15
7ExprTuple23
8Operationoperator: 12
operands: 13
9ExprTuple27, 14
10Literal
11ExprTuple15
12Literal
13NamedExprselement: 16
targets: 17
14Literal
15Literal
16Operationoperator: 18
operands: 19
17Operationoperator: 20
operands: 21
18Literal
19NamedExprsstate: 22
part: 23
20Literal
21ExprTuple28, 24
22Variable
23Variable
24Operationoperator: 25
operands: 26
25Literal
26ExprTuple27, 28
27Variable
28Literal