# Minimum and Maximum¶

The minimum and maximum operators determine the smallest and largest input, respectively. Both functions receive two inputs. Each may be a fixed point number or a quantum register.

## Syntax¶

Function: Min/Max

Parameters:

• left_arg: Union[float, int, RegisterUserInput] (see RegisterUserInput)
• right_arg: Union[float, int, RegisterUserInput] (see RegisterUserInput)
• output_size: Optional[PositiveInt]

Register names:

• left_arg: left_arg
• right_arg: right_arg
• result: min_value/max_value
{
"functions": [
{
"name": "main",
"body": [
{
"function": "Min",
"function_params": {
"left_arg": {"size": 3, "name": "left"},
"right_arg": {"size": 3, "name": "right"}
}
}
]
}
]
}


### Example 1: Two-Register Minimum¶

{
"functions": [
{
"name": "main",
"body": [
{
"function": "Min",
"function_params": {
"left_arg": {"size": 3, "name": "left"},
"right_arg": {"size": 3, "name": "right"}
}
}
]
}
]
}

from classiq import Model, QUInt, synthesize, show
from classiq.builtin_functions import Min

params = Min(
left_arg=QUInt(size=3).to_register_user_input(name="left"),
right_arg=QUInt(size=3).to_register_user_input(name="right"),
)
model = Model()
model.Min(params)
quantum_program = synthesize(model.get_model())
show(quantum_program)


This code example generates a quantum program that returns a minimum of two arguments. Both left_arg and right_arg are defined as quantum registers of size three.

### Example 2: Float and Register Minimum¶

{
"functions": [
{
"name": "main",
"body": [
{
"function": "Min",
"function_params": {
"left_arg": 3.5,
"right_arg": {"size": 3, "name": "arg"}
}
}
]
}
]
}

from classiq import Model, RegisterUserInput, synthesize, show
from classiq.builtin_functions import Min

params = Min(left_arg=3.5, right_arg=RegisterUserInput(size=3, name="arg"))
model = Model()
model.Min(params)
quantum_program = synthesize(model.get_model())
show(quantum_program)


This code example returns a quantum program with a minimum of two arguments. Here, left_arg is a fixed-point number $$(11.1)_2$$ and "right_arg" is a quantum register of size three.