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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 ExprTuple, U, m
from proveit.linear_algebra import Unitary
from proveit.logic import InSet
from proveit.numbers import Exp, two
from proveit.physics.quantum import m_ket_domain, var_ket_psi
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(U, Unitary(Exp(two, m))), InSet(var_ket_psi, m_ket_domain))
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(U \in \textrm{U}\left(2^{m}\right), \lvert \psi \rangle \in \mathbb{C}^{2^{m}}\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple8, 9
6Variable
7Operationoperator: 10
operand: 15
8Variable
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple15
12Literal
13ExprTuple14, 15
14Literal
15Operationoperator: 16
operands: 17
16Literal
17ExprTuple18, 19
18Literal
19Variable