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master
Pete Shadbolt il y a 8 ans
Parent
révision
0b6e1783c0
2 fichiers modifiés avec 116 ajouts et 22 suppressions
  1. +41
    -20
      abp/graphstate.py
  2. +75
    -2
      doc/index.rst

+ 41
- 20
abp/graphstate.py Voir le fichier

@@ -1,17 +1,28 @@
"""
Provides an extremely basic graph structure, based on key/value pairs
This module implements Anders and Briegel's method for fast simulation of Clifford circuits.
"""

import itertools as it
import json
import qi, clifford, util
import random
import qi, clifford, util

class GraphState(object):
"""
This is the main class used to model stabilizer states.
Internally it uses the same dictionary-of-dictionaries data structure as ``networkx``.
"""

def __init__(self, nodes=[], deterministic=False):
""" Construct a GraphState.

:param nodes: An iterable of nodes used to construct the graph.
:param deterministic: If ``True``, the behaviour of the graph is deterministic up to but not including the choice of measurement outcome. This is slightly less efficient, but useful for testing. If ``False``, the specific graph representation will sometimes be random -- of course, all possible representations still map to the same state vector.
"""

def __init__(self, nodes=[]):
self.adj, self.node = {}, {}
self.add_nodes(nodes)
self.deterministic = deterministic

def add_node(self, v, **kwargs):
""" Add a node """
@@ -26,7 +37,7 @@ class GraphState(object):
self.add_node(n)

def add_edge(self, v1, v2, data={}):
""" Add an edge between two vertices in the self """
""" Add an edge between two vertices """
assert v1 != v2
self.adj[v1][v2] = data
self.adj[v2][v1] = data
@@ -37,16 +48,16 @@ class GraphState(object):
self.add_edge(v1, v2)

def del_edge(self, v1, v2):
""" Delete an edge between two vertices in the self """
""" Delete an edge between two vertices """
del self.adj[v1][v2]
del self.adj[v2][v1]

def has_edge(self, v1, v2):
""" Test existence of an edge between two vertices in the self """
""" Test existence of an edge between two vertices """
return v2 in self.adj[v1]

def toggle_edge(self, v1, v2):
""" Toggle an edge between two vertices in the self """
""" Toggle an edge between two vertices """
if self.has_edge(v1, v2):
self.del_edge(v1, v2)
else:
@@ -63,9 +74,10 @@ class GraphState(object):
def remove_vop(self, a, avoid):
""" Reduces VOP[a] to the identity """
others = set(self.adj[a]) - {avoid}
#TODO: this is a hack for determinsim. remove
swap_qubit = min(others) if others else avoid
#swap_qubit = others.pop() if others else avoid
if self.deterministic:
swap_qubit = min(others) if others else avoid
else:
swap_qubit = others.pop() if others else avoid

for v in reversed(clifford.decompositions[self.node[a]["vop"]]):
if v == "x":
@@ -84,11 +96,15 @@ class GraphState(object):
self.node[i]["vop"] = clifford.times_table[
self.node[i]["vop"], clifford.by_name["sqz_h"]]

def act_local_rotation(self, v, op):
""" Act a local rotation """
rotation = clifford.by_name[str(op)]
self.node[v]["vop"] = clifford.times_table[
rotation, self.node[v]["vop"]]
def act_local_rotation(self, node, operation):
""" Act a local rotation on a qubit

:param node: The index of the node to act on
:param operation: The Clifford-group operation to perform.
"""
rotation = clifford.by_name[str(operation)]
self.node[node]["vop"] = clifford.times_table[
rotation, self.node[node]["vop"]]

def _update_vop(self, v, op):
""" Update a VOP - only used internally"""
@@ -97,7 +113,7 @@ class GraphState(object):
self.node[v]["vop"], rotation]

def act_hadamard(self, qubit):
""" Shorthand """
""" Shorthand for ``self.act_local_rotation(qubit, "hadamard")`` """
self.act_local_rotation(qubit, 10)

def _lonely(self, a, b):
@@ -105,7 +121,11 @@ class GraphState(object):
return len(self.adj[a]) > (b in self.adj[a])

def act_cz(self, a, b):
""" Act a controlled-phase gate on two qubits """
""" Act a controlled-phase gate on two qubits

:param a: The first qubit
:param b: The second qubit
"""
if self._lonely(a, b):
self.remove_vop(a, b)

@@ -166,9 +186,10 @@ class GraphState(object):
return 0

# Pick a vertex
#friend = next(self.adj[node].iterkeys())
# TODO this is enforced determinism for testing purposes
friend = sorted(self.adj[node].keys())[0]
if self.deterministic:
friend = sorted(self.adj[node].keys())[0]
else:
friend = next(self.adj[node].iterkeys())

# Update the VOPs. TODO: pretty ugly
if result:


+ 75
- 2
doc/index.rst Voir le fichier

@@ -12,7 +12,9 @@ Welcome to ``abp``

This is the documentation for ``abp``. It's a work in progress.

This is blah blah. Link to paper. Whatever.
``abp`` is a Python port of Anders and Briegel' s `method <https://arxiv.org/abs/quant-ph/0504117>`_ for fast simulation of Clifford circuits.
That means that you can make quantum states of thousands of qubits, perform any sequence of Clifford operations, and measure in any of :math:`\{\sigma_x, \sigma_y, \sigma_z\}`.
It should do thousands of qubits without much trouble.

Installing
----------------------------
@@ -23,7 +25,78 @@ You can install from ``pip``:

$ pip install --user abp

API reference
Alternatively, clone from the `github repo <https://github.com/peteshadbolt/abp>`_ and run ``setup.py``:

.. code-block:: bash

$ git clone https://github.com/peteshadbolt/abp
$ cd abp
$ python setup.py install --user

If you want to modify and test ``abp`` without having to re-install, switch into ``develop`` mode:

.. code-block:: bash

$ python setup.py develop --user

Quickstart
----------------------------

It's pretty easy to build a graph state, act some gates, and do measurements::

>>> from abp import GraphState
>>> g = GraphState(range(5))
>>> for i in range(5):
... g.act_hadamard(i)
...
>>> for i in range(4):
... g.act_cz(i, i+1)
...
>>> print g
0: IA (1,)
1: IA (0,2)
2: IA (1,3)
3: IA (2,4)
4: IA (3,)
>>> print g.to_state_vector()
|00000>: 0.18+0.00j
|00001>: 0.18+0.00j ...
>>> g.measure(2, "px")
0
>>> print g
0: IA (3,)
1: ZC (3,)
2: IA -
3: ZA (0,1,4)
4: IA (3,)

GraphState
-------------------------

The ``abp.GraphState`` class is your main interface to ``abp``.
Here follows complete documentation

.. autoclass:: abp.GraphState

.. automethod:: abp.GraphState.__init__

.. automethod:: abp.GraphState.add_node

.. automethod:: abp.GraphState.add_nodes

.. automethod:: abp.GraphState.act_local_rotation

.. automethod:: abp.GraphState.act_hadamard

.. automethod:: abp.GraphState.act_cz

.. automethod:: abp.GraphState.add_edge

.. automethod:: abp.GraphState.add_edges

.. automethod:: abp.GraphState.del_edge

Reference
----------------------------

* :ref:`genindex`


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