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@jcmgray
Last active October 9, 2018 23:38
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import mblvr\n",
"import numpy as np\n",
"import numba as nb\n",
"import xarray as xr\n",
"import xyzpy as xyz\n",
"from glob import glob"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ds_mblvr_L10.h5\n",
"RANGE: 0 -> 100 | TOTAL: 100 \n",
"ds_mblvr_L11.h5\n",
"RANGE: 0 -> 100 | TOTAL: 100 \n",
"ds_mblvr_L12.h5\n",
"RANGE: 0 -> 100 | TOTAL: 100 \n",
"ds_mblvr_L13.h5\n",
"RANGE: 0 -> 100 | TOTAL: 100 \n",
"ds_mblvr_L14.h5\n",
"RANGE: 0 -> 100 | TOTAL: 100 \n",
"ds_mblvr_L15.h5\n",
"RANGE: 0 -> 100 | TOTAL: 100 \n",
"ds_mblvr_L16.h5\n",
"RANGE: 0 -> 10 | TOTAL: 10 \n",
"ds_mblvr_L18.h5\n",
"RANGE: 0 -> 10 | TOTAL: 10 \n",
"ds_mblvr_L19.h5\n",
"RANGE: 0 -> 10 | TOTAL: 10 \n",
"ds_mblvr_L20.h5\n",
"RANGE: 0 -> 10 | TOTAL: 10 \n"
]
}
],
"source": [
"for file in sorted(glob('*.h5')):\n",
" print(file)\n",
" xyz.check_runs(xyz.load_ds(file), dim='seed')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the length 20 dataset and do a bit of processing:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<xarray.Dataset>\n",
"Dimensions: (B: 10, dh: 17, i: 20, j: 20, seed: 10)\n",
"Coordinates:\n",
" * B (B) int64 1 2 3 4 5 6 7 8 9 10\n",
" L int64 20\n",
" cyclic int64 1\n",
" * dh (dh) float64 0.0 0.5 1.0 1.5 2.0 2.5 ... 5.5 6.0 6.5 7.0 7.5 8.0\n",
" * i (i) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n",
" * j (j) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19\n",
" * seed (seed) int64 0 1 2 3 4 5 6 7 8 9\n",
"Data variables:\n",
" logneg (dh, seed, B, i, j) float64 1.0 0.0 0.0 0.0 ... nan nan nan 0.4122\n",
" mutinf (dh, seed, B, i, j) float64 2.0 0.03473 0.02571 ... nan nan 0.2312\n",
" logneg/B (dh, seed, B, i, j) float64 1.0 0.0 0.0 0.0 ... nan nan 0.04122"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"L = 20\n",
"h = mblvr.mbl_block_ent_harvester(L)\n",
"ds = h.full_ds.squeeze()\n",
"\n",
"# insert the normalized logneg\n",
"ds['logneg/B'] = ds['logneg'] / ds['B']\n",
"\n",
"# set logneg(i, j) = logneg(j, i)\n",
"sds = ds.fillna(ds.rename({'j': 'i', 'i': 'j'}))\n",
"\n",
"sds"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data contains $\\mathcal{E}(\\rho_{AB})$ for blocks $A$ and $B$ of equal size ``B``, \n",
"with each block starting at ``i`` and ``j`` respectively. This is not defined if the blocks\n",
"overlap at all.\n",
"\n",
"``dh`` is the random field strength, and ``seed`` is the random instance.\n",
"\n",
"If ``i == j``, then $\\rho_A == \\rho_B$ and the entanglement ('self-entanglement') is found\n",
"with the state's purification (i.e. its the block's entanglement with **everything**).\n",
"\n",
"The rest of the entanglement we might call the 'off-diagonal' entanglement."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 700x600 with 2 Axes>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ds.sel(dh=3.5, seed=6, B=1).xyz.heatmap('i', 'j', 'logneg')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we look at a larger block we can see missing data where the blocks would\n",
"have overlapped and also the effect of PBC:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x600 with 2 Axes>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ds.sel(dh=3.5, seed=6, B=5).xyz.heatmap('i', 'j', 'logneg')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following just fills in the blanks with the average value of the in-range diagonal entanglements (just for visualization):"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"@nb.guvectorize([(nb.float64[:, :], nb.int64[:], nb.float64[:, :])], '(i, j),()->(i, j)')\n",
"def cyclic_2d_nan_moving_average(X, B, Y):\n",
" \n",
" b = max(1, (B[0] // 2) + (B[0] % 2))\n",
" Li, Lj = X.shape\n",
" \n",
" for i in range(Li):\n",
" for j in range(Lj):\n",
" \n",
" if np.isnan(X[i, j]):\n",
" tot = 0.0\n",
" counter = 0\n",
" for ib in range(i - b, i + b + 1):\n",
" for jb in range(j - b, j + b + 1):\n",
" \n",
"# # only fill in from close points\n",
"# if (i - ib)**2 + (j - jb)**2 > b**2:\n",
"# continue\n",
" \n",
"# # only fill in from diagonal points and NN\n",
"# if (abs(ib - jb) % B[0] != 0):\n",
"# continue\n",
" \n",
" ib, jb = ib % Li, jb % Lj\n",
" \n",
"# # only fill in from points in line\n",
"# if (i != ib) and (j != jb):\n",
"# continue\n",
" \n",
" # only fill in from diagonal points\n",
" if ib != jb:\n",
" continue\n",
" \n",
" cand = X[ib, jb]\n",
" if np.isnan(cand):\n",
" continue\n",
" \n",
" tot += cand\n",
" counter += 1\n",
"\n",
" Y[i, j] = tot / counter\n",
" else:\n",
" Y[i, j] = X[i, j]\n",
"\n",
"ssds = xr.apply_ufunc(\n",
" cyclic_2d_nan_moving_average, \n",
" sds, sds['B'],\n",
" input_core_dims=[('i', 'j'), []],\n",
" output_core_dims=[('i', 'j')])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we can plot the entanglment structure as a function of ``B`` and ``dh`` for a single instance and length:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 3000x5100 with 170 Axes>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = (\n",
" ssds\n",
"# .mean('seed')\n",
" .sel(seed=0)\n",
" .xyz.heatmap(\n",
" 'i', 'j', 'logneg/B', col='B', row='dh',\n",
" tight_layout=False, vmin=0, vmax=1,\n",
" colorbar=False,\n",
" hspace=0.0, wspace=0.0, \n",
" colormap='thermal',\n",
" )\n",
")\n",
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we can derive some quantities meaned over instances and combinations of ``i`` and ``j``."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"ds = h.full_ds.squeeze()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<xarray.DataArray 'norm' (B: 10)>\n",
"array([1. , 1. , 1.259259, 1. , 1. , 1.296296, 2.653061,\n",
" 1.875 , 1.358025, 1. ])\n",
"Coordinates:\n",
" * B (B) int64 1 2 3 4 5 6 7 8 9 10\n",
" L int64 20\n",
" cyclic int64 1"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ds['nB_actual'] = ds['L'] // ds['B']\n",
"ds['nB_tlimit'] = ds['L'] / ds['B']\n",
"\n",
"ds['nP_actual'] = 0.5 * ds['nB_actual'] * (ds['nB_actual'] - 1)\n",
"ds['nP_tlimit'] = 0.5 * ds['nB_tlimit'] * (ds['nB_tlimit'] - 1)\n",
"\n",
"ds['norm'] = (ds['nP_tlimit'] / ds['nP_actual']) #* (1 / ds['B'])\n",
"\n",
"# might be useful?? - the factor of pairings miseed due to lattice misalignment with the block size\n",
"ds['norm']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Total self entanglement\n",
"\n",
"We can compute the amount of entanglement 'stored' as self entanglement - this is \n",
"limited by length ``L`` and bounds the amount of entanglement that can appear as\n",
"'off-diagonal'."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/johnnie/conda/lib/python3.6/site-packages/xarray/core/nanops.py:162: RuntimeWarning: Mean of empty slice\n",
" return np.nanmean(a, axis=axis, dtype=dtype)\n"
]
}
],
"source": [
"ds['logneg_total_self_entanglement'] = (\n",
" (ds['logneg'] / ds['B']) # normalize for overalling tilings\n",
" .where(ds['i'] == ds['j']) # only take self ent\n",
" .mean(['seed'])\n",
" .sum(['i', 'j'])\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 700x600 with 1 Axes>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ds\n",
" .xyz.lineplot(\n",
" 'dh', 'logneg_total_self_entanglement', 'B', \n",
" hlines=[L],\n",
" colors=True,\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Total nearest neighbour entanglement\n",
"\n",
"Another quantitiy is the amount of entanglment appearing in nearest neighbouring blocks:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/johnnie/conda/lib/python3.6/site-packages/xarray/core/nanops.py:162: RuntimeWarning: Mean of empty slice\n",
" return np.nanmean(a, axis=axis, dtype=dtype)\n"
]
}
],
"source": [
"ds['logneg_total_nn_entanglement'] = (\n",
" (2 * ds['logneg'] / ds['B']) # normalize for overalling tilings\n",
" .where(ds['i'] == ds['j'] - ds['B']) # only take self ent\n",
" .mean(['seed'])\n",
" .sum(['i', 'j'])\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x600 with 1 Axes>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ds\n",
" .xyz.lineplot(\n",
" 'dh', 'logneg_total_nn_entanglement', 'B', \n",
" hlines=[L],\n",
" colors=True,\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the for ``B=10`` the line is the same since this corresponds to pure\n",
"bi-partition - all the self entanglment is nearest neighbour blocked entanglement.",
"Also, note that including all 'off-diagonal' entanglement (with proper normalization -",
" I haven't done this yet), should make the collapse better."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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