Qutrit Non-Parametric Ops #1 (TShift, TClock)

[mudit2812]

Context: There are very few simulators available today that offer qudit simulation. One notable example is Google's Cirq, which includes support for qudit operations. However, the simulator is far from complete, and a key drawback is the lack of operations available, which creates a need for users to define operations themselves. Popular libraries such as Qiskit and QuTiP also include some qudit manipulation capabilities, but with few use cases. Beyond these libraries, qudit simulation solutions are quite limited. Moreover, qudit simulation is a feature that is already in demand, as seen in this issue on the PennyLane repository.

This PR builds upon the previous PR's that added qutrit functionality by implementing the non-parametric Ternary Shift and Clock operations, which are the generalized analogs of the Pauli X and Z operations respectively.

Description of the Change:

• Added TShift() and TClock() operation to PennyLane to use with qutrit devices.

Benefits:

Possible Drawbacks:

Related GitHub Issues: https://github.com/PennyLaneAI/pennylane/issues/2190

[codecov[bot]]

Codecov Report

Merging #2841 (71ef4d4) into master (6452e69) will increase coverage by 0.00%. The diff coverage is 100.00%.

@@           Coverage Diff           @@
##           master    #2841   +/-   ##
=======================================
  Coverage   99.65%   99.65%           
=======================================
  Files         263      264    +1     
  Lines       22219    22283   +64     
=======================================
+ Hits        22142    22206   +64     
  Misses         77       77           

Impacted Files	Coverage Δ
pennylane/_qutrit_device.py	100.00% <ø> (ø)
pennylane/devices/default_qutrit.py	100.00% <100.00%> (ø)
pennylane/ops/qutrit/__init__.py	100.00% <100.00%> (ø)
pennylane/ops/qutrit/non_parametric_ops.py	100.00% <100.00%> (ø)

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