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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, b
from proveit.numbers import Abs, Exp, two
from proveit.physics.quantum import Bra, Qmult, var_ket_psi
from proveit.physics.quantum.circuits import qubit_meas
from proveit.statistics import Prob
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Prob(qubit_meas), Exp(Abs(Qmult(Bra(b), var_ket_psi)), two))
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(\textrm{Pr}\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \meter & \qout{\lvert b \rangle}
} \end{array}\right), \left|\langle b \rvert \thinspace \lvert \psi \rangle\right|^{2}\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
operand: 7
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple7
5Literal
6ExprTuple8, 9
7Operationoperator: 10
operands: 11
8Operationoperator: 12
operand: 17
9Literal
10Literal
11ExprTuple14, 15, 16
12Literal
13ExprTuple17
14ExprTuple18
15ExprTuple19
16ExprTuple20
17Operationoperator: 21
operands: 22
18Operationoperator: 23
operands: 24
19Operationoperator: 25
operands: 26
20Operationoperator: 27
operands: 28
21Literal
22ExprTuple29, 30
23Literal
24NamedExprsstate: 30
25Literal
26NamedExprsbasis: 31
27Literal
28NamedExprsstate: 32
29Operationoperator: 33
operand: 36
30Variable
31Literal
32Operationoperator: 34
operand: 36
33Literal
34Literal
35ExprTuple36
36Variable