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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 ExprTuple
from proveit.linear_algebra import TensorProd
from proveit.logic import CartExp
from proveit.numbers import Add, Complex, Exp, two
from proveit.physics.quantum.QPE import _s, _t, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(TensorProd(CartExp(Complex, _two_pow_t), CartExp(Complex, Exp(two, _s))), CartExp(Complex, Exp(two, Add(_t, _s))))
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(\mathbb{C}^{2^{t}} {\otimes} \mathbb{C}^{2^{s}}, \mathbb{C}^{2^{t + s}}\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: 3
operands: 4
2Operationoperator: 10
operands: 5
3Literal
4ExprTuple6, 7
5ExprTuple14, 8
6Operationoperator: 10
operands: 9
7Operationoperator: 10
operands: 11
8Operationoperator: 18
operands: 12
9ExprTuple14, 13
10Literal
11ExprTuple14, 15
12ExprTuple22, 16
13Operationoperator: 18
operands: 17
14Literal
15Operationoperator: 18
operands: 19
16Operationoperator: 20
operands: 21
17ExprTuple22, 23
18Literal
19ExprTuple22, 24
20Literal
21ExprTuple23, 24
22Literal
23Literal
24Literal