code: def sqrt_matrix(density_matrix):
      r"""Compute the square root matrix of a density matrix where :math:`\rho = \sqrt{\rho} \times \sqrt{\rho}`
  
      Args:
          density_matrix (tensor_like): 2D or 3D (with batching) density matrix of the quantum system.
  
      Returns:
          (tensor_like): Square root of the density matrix.
      """
      evs, vecs = qml.math.linalg.eigh(density_matrix)
      evs = qml.math.real(evs)
      evs = qml.math.where(evs > 0.0, evs, 0.0)
      if not is_abstract(evs):
          evs = qml.math.cast_like(evs, vecs)
  
      shape = qml.math.shape(density_matrix)
      if len(shape) > 2:
          # broadcasting case
          i = qml.math.cast_like(
              qml.math.convert_like(qml.math.eye(shape[-1]), evs), evs
          )
          sqrt_evs = qml.math.expand_dims(qml.math.sqrt(evs), 1) * i
          return (
              vecs
              @ sqrt_evs
              @ qml.math.conj(qml.math.transpose(vecs, (0, 2, 1)))
          )
  
      return (
          vecs
          @ qml.math.diag(qml.math.sqrt(evs))
          @ qml.math.conj(qml.math.transpose(vecs))
      )
  
imports: import itertools
  import functools
  from string import ascii_letters
  from autoray import numpy
  from numpy import float64
  import pennylane
  from .None import single_dispatch
  from .multi_dispatch import diag, dot, scatter_element_add, einsum, get_interface
  from .utils import is_abstract, allclose, cast, convert_like, cast_like
  from .matrix_manipulation import _permute_dense_matrix
label_desc: Use image node_id 14 for calling a global function with example usage: sqrt_matrix(density_matrix) and returns: unknown, unknown