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Didictateur 2023-11-08 14:25:54 +01:00
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QElephant/__init__.py
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from QElephant.Circuit import *

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README.md
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@ -19,7 +19,7 @@ In order to work, QElephant is using the following libraries:
They are automatically managed when installing QElephant. They are automatically managed when installing QElephant.
## Contains ## Contains
This library contains two main object : `QuBit` and `Matrix`. This library contains three main object : `QuBit`, `Matrix` and `Circuit`.
### QuBit ### QuBit
This is the specificity of a quantum algorithm: using QuBit which can have two states: `|0>` and `|1>`. To create one, simply use: This is the specificity of a quantum algorithm: using QuBit which can have two states: `|0>` and `|1>`. To create one, simply use:
@ -32,16 +32,16 @@ $\alpha$ and $\beta$ are optional complex arguments. When specified, initiate th
> [!IMPORTANT] > [!IMPORTANT]
> Because the value of $\alpha$ and $\beta$ gives the probability of each states, it is essential that $|\alpha|²+|\beta|²=1$. On the other case, the QuBit cannot be created. > Because the value of $\alpha$ and $\beta$ gives the probability of each states, it is essential that $|\alpha|²+|\beta|²=1$. On the other case, the QuBit cannot be created.
To simulate intricated QuBit, `MuBit` are used. As for `QuBit`, they are initalized like this: To simulate entangled QuBit, `MuBit` are used. As for `QuBit`, they are initalized like this:
``` ```
mq = MuBit(n) mq = MuBit(n)
q = mq[0] q = mq[0]
``` ```
`n` gives the number of intricated QuBit. When created, a MuBit is in the state with only zeros. `n` gives the number of entangled QuBit. When created, a MuBit is in the state with only zeros.
`mq[0]` returns a QuBit, here the first one, wich can be manipulated. Because of the intrication, manipulating a intricated QuBit implies that other QuBits are manipulated too. `mq[0]` returns a QuBit, here the first one, wich can be manipulated. Because of the intrication, manipulating a entangled QuBit implies that other QuBits are manipulated too.
### Matrix ### Matrix
`Matrix` are used to manipulate the state of the QuBit. For example, the QuBit `Matrix` are used to manipulate the state of the QuBit. For example, the QuBit
@ -77,6 +77,22 @@ So, the operation corresponding of the inversion of the value of $\alpha$ and $\
In theory, the users don't need to use them, the main quantum gates are already implemented. In theory, the users don't need to use them, the main quantum gates are already implemented.
### Circuit
A `Circuit` is an object contaning a MuBit. When manipulating it, it send to the `Circuit` a signal in order to keep in memory when a gate is used, and on which QuBit.
So, it is simply used like a `MuBit` :
```
# a Circuit with 3 entangled SuBit is created
c = Circuit(3)
# get the MuBit in this circuit
mb = c.get_MuBit()
# manipulate le MuBit
List_of_QuBit = [mb[i] for i in range(3)]
```
### Quantum Gate ### Quantum Gate
The quantum gates are the different operations applying to the QuBits. The one behind is the gate `X`. It is simply used like any function: The quantum gates are the different operations applying to the QuBits. The one behind is the gate `X`. It is simply used like any function:
@ -106,6 +122,23 @@ SWAP(mq, 0, 1)
# the two first quibit are inverted, mq is finally in the state |01> # the two first quibit are inverted, mq is finally in the state |01>
``` ```
Finally, a gate can be simply apply on all the `QuBit` of a `MuBit`:
```
mb1 = MuBit(7)
mb2 = MuBit(7)
H(mb2)
for i in range(7):
H(mb2[i])
# at the end, the two MuBit are in the exact same state
```
> [!NOTE]
> Only a single qubit gate can be apply to all the `QuBit` at the same time.
> For a `Circuit`, maust be apply to the `QuBit`, and not to the circuit
## Docs ## Docs
A doc is availaibale [here](docs) where all objects and gates are displayed. A doc is availaibale [here](docs) where all objects and gates are displayed.
@ -114,4 +147,4 @@ A doc is availaibale [here](docs) where all objects and gates are displayed.
## Others ## Others
> [!WARNING] > [!WARNING]
> Because this library is only a simulation of a qantum computer, lot of calculus are made. Manipulating n intricated qubits means manipulating matrices of size 2^n. So, it demandes much more time to calvulate than a real qantum computer. > Because this library is only a simulation of a qantum computer, lot of calculation are made. Manipulating n entangled qubits means manipulating matrices of size 2^n. So, it demandes much more time to calculate than a real qantum computer.