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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, U, Variable, m
from proveit.logic import Set
from proveit.numbers import Add, Interval, one, two
from proveit.physics.quantum import CONTROL
from proveit.physics.quantum.circuits import Gate, MultiQubitElem
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(MultiQubitElem(element = CONTROL, targets = Set(two)), ExprRange(sub_expr1, MultiQubitElem(element = Gate(operation = 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{
& & \gate{CONTROL~\mbox{on}~\left\{2\right\}} & \qw 
} \end{array},\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~1~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \qw 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~2~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \qw 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\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: 13
operands: 3
2ExprRangelambda_map: 4
start_index: 15
end_index: 5
3NamedExprselement: 6
targets: 7
4Lambdaparameter: 23
body: 9
5Operationoperator: 25
operands: 10
6Literal
7Operationoperator: 11
operand: 28
8ExprTuple23
9Operationoperator: 13
operands: 14
10ExprTuple27, 15
11Literal
12ExprTuple28
13Literal
14NamedExprselement: 16
targets: 17
15Literal
16Operationoperator: 18
operands: 19
17Operationoperator: 20
operands: 21
18Literal
19NamedExprsoperation: 22
part: 23
20Literal
21ExprTuple28, 24
22Variable
23Variable
24Operationoperator: 25
operands: 26
25Literal
26ExprTuple27, 28
27Variable
28Literal