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Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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, t
from proveit.linear_algebra import VecSpaces
from proveit.logic import InClass
from proveit.numbers import Add, Complex, Neg, one, zero
from proveit.physics.quantum import QubitSpace
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), InClass(QubitSpace, VecSpaces(Complex)), Add(Neg(t), one), zero))
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(\left(\mathbb{C}^{2} \underset{{\scriptscriptstyle c}}{\in} \textrm{VecSpaces}\left(\mathbb{C}\right)\right), \left(\mathbb{C}^{2} \underset{{\scriptscriptstyle c}}{\in} \textrm{VecSpaces}\left(\mathbb{C}\right)\right), ..\left(t - 3\right) \times.., \left(\mathbb{C}^{2} \underset{{\scriptscriptstyle c}}{\in} \textrm{VecSpaces}\left(\mathbb{C}\right)\right)\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1ExprRangelambda_map: 2
start_index: 3
end_index: 4
2Lambdaparameter: 9
body: 6
3Operationoperator: 7
operands: 8
4Literal
5ExprTuple9
6Operationoperator: 10
operands: 11
7Literal
8ExprTuple12, 13
9Variable
10Literal
11ExprTuple14, 15
12Operationoperator: 16
operand: 22
13Literal
14Operationoperator: 18
operands: 19
15Operationoperator: 20
operand: 24
16Literal
17ExprTuple22
18Literal
19ExprTuple24, 23
20Literal
21ExprTuple24
22Variable
23Literal
24Literal