Implement logical hadamard transition for the fixed bulk convention

Is your feature request related to a problem? Please describe.

The Hadamard junction is not implemented for the fixed bulk convention.

Describe the solution you'd like

Implement the following method

tqec/src/tqec/compile/specs/library/fixed_bulk.py

Lines 179 to 200 in a43273a

    
               def _get_temporal_hadamard_pipe_block(self, spec: PipeSpec) -> Block: 
        
                   """Returns the block to implement a 
        
                   Hadamard temporal junction. 
        
                   Note: 
        
                       This method performs the Hadamard transition at the end of the 
        
                       layer that appear first (i.e., temporally before the other, or in 
        
                       other words the one with a lower Z index). 
        
                   Args: 
        
                       spec: description of the pipe that should be implemented by this 
        
                           method. Should be a Hadamard temporal pipe. 
        
                   Raises: 
        
                       AssertionError: if the provided ``pipe`` is not a temporal pipe, or 
        
                           if it is not a Hadamard transition. 
        
                   Returns: 
        
                       the block to implement the provided 
        
                       ``spec``. 
        
                   """ 
        
                   raise NotImplementedError()

and the two following branches

tqec/src/tqec/compile/specs/library/fixed_bulk.py

Lines 297 to 307 in a43273a

    
           case Direction3D.X, True: 
        
               # Hadamard pipe in the X direction. 
        
               top_left_basis = spec.pipe_kind.get_basis_along( 
        
                   Direction3D.Y, at_head=True 
        
               ) 
        
               return ( 
        
                   lambda r, 
        
                   m: self._generator.get_spatial_vertical_hadamard_plaquettes( 
        
                       top_left_basis == Basis.Z, r, m 
        
                   ) 
        
               )

tqec/src/tqec/compile/specs/library/fixed_bulk.py

Lines 322 to 332 in a43273a

    
           case Direction3D.Y, True: 
        
               # Hadamard pipe in the Y direction. 
        
               top_left_basis = spec.pipe_kind.get_basis_along( 
        
                   Direction3D.X, at_head=True 
        
               ) 
        
               return ( 
        
                   lambda r, 
        
                   m: self._generator.get_spatial_horizontal_hadamard_plaquettes( 
        
                       top_left_basis == Basis.Z, r, m 
        
                   ) 
        
               )

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	def _get_temporal_hadamard_pipe_block(self, spec: PipeSpec) -> Block:
	"""Returns the block to implement a
	Hadamard temporal junction.

	Note:
	This method performs the Hadamard transition at the end of the
	layer that appear first (i.e., temporally before the other, or in
	other words the one with a lower Z index).

	Args:
	spec: description of the pipe that should be implemented by this
	method. Should be a Hadamard temporal pipe.

	Raises:
	AssertionError: if the provided ``pipe`` is not a temporal pipe, or
	if it is not a Hadamard transition.

	Returns:
	the block to implement the provided
	``spec``.
	"""
	raise NotImplementedError()

	case Direction3D.X, True:
	# Hadamard pipe in the X direction.
	top_left_basis = spec.pipe_kind.get_basis_along(
	Direction3D.Y, at_head=True
	)
	return (
	lambda r,
	m: self._generator.get_spatial_vertical_hadamard_plaquettes(
	top_left_basis == Basis.Z, r, m
	)
	)

	case Direction3D.Y, True:
	# Hadamard pipe in the Y direction.
	top_left_basis = spec.pipe_kind.get_basis_along(
	Direction3D.X, at_head=True
	)
	return (
	lambda r,
	m: self._generator.get_spatial_horizontal_hadamard_plaquettes(
	top_left_basis == Basis.Z, r, m
	)
	)

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