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Expression of type ExprRange

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, U, Variable, m
from proveit.numbers import Add, Interval, one, two
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 = 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())
\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}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
parameterization'implicit' (default for LaTeX formatting) hides the parameter the ExprRange so the parameterization may be ambiguous (e.g., x_{1+1}, ..., x_{n+1}); 'explicit' (default for string formatting) reveals the parameterization (e.g. x_{1+1}, ..x_{k+1}.., x_{n+1}).NoneNone/False('with_explicit_parameterization', 'with_implicit_parameterization', 'with_default_parameterization_style')
front_expansionThe number of instances to display at the front of the range (e.g., before the ellipsis). Default is 2.22('with_front_expansion', 'get_front_expansion')
back_expansionThe number of instances to display at the back of the range (e.g., after the ellipsis). Default is 1.11('with_back_expansion', 'get_back_expansion')
orderThe default order is 'increasing' (a_1 ... a_3) but to represent a 'decreasing' ExprRange (a_6 ... a_2) the order must be set to 'decreasing'increasingincreasing('with_decreasing_order', 'with_increasing_order')
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
case_simplifyIf 'True', simplify formatted instances that are ConditionalSets under proper index assumptionsFalseFalse('with_case_simplification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprRangelambda_map: 1
start_index: 8
end_index: 2
1Lambdaparameter: 16
body: 4
2Operationoperator: 18
operands: 5
3ExprTuple16
4Operationoperator: 6
operands: 7
5ExprTuple20, 8
6Literal
7NamedExprselement: 9
targets: 10
8Literal
9Operationoperator: 11
operands: 12
10Operationoperator: 13
operands: 14
11Literal
12NamedExprsoperation: 15
part: 16
13Literal
14ExprTuple21, 17
15Variable
16Variable
17Operationoperator: 18
operands: 19
18Literal
19ExprTuple20, 21
20Variable
21Literal