Deprecate in 1.4 the pending deprecations from the 1.* cycle

[1ucian0]

The following functions/methods/classes are annotated as pending deprecations (probably, because the alternative was introduced in the same release):

1.1: #13601 They should be moved to deprecations in 1.4

• qiskit/visualization/pulse_v2/interface.py:35 (draw)
• qiskit/visualization/timeline/interface.py:33 (draw)
• qiskit/visualization/timeline/interface.py:34 (draw)
• qiskit/pulse/schedule.py:1696 (draw)

1.2: #13603 They should be moved to deprecations in 1.4

• qiskit/synthesis/evolution/suzuki_trotter.py:61 (__init__)
• qiskit/synthesis/evolution/qdrift.py:44 (__init__)
• qiskit/synthesis/evolution/product_formula.py:45 (__init__)

1.3: #13604 Keep them as deprecated during the 2.* cycle

• qiskit/circuit/library/hidden_linear_function.py:71 (__init__)
• qiskit/circuit/library/graph_state.py:60 (__init__)
• qiskit/circuit/library/iqp.py:65 (__init__)
• qiskit/circuit/library/fourier_checking.py:56 (__init__)
• qiskit/circuit/library/phase_estimation.py:52 (__init__)
• qiskit/circuit/library/overlap.py:62 (__init__)
• qiskit/circuit/library/grover_operator.py:426 (__init__)
• qiskit/circuit/library/generalized_gates/diagonal.py:37 (__init__)
• qiskit/circuit/library/generalized_gates/linear_function.py:229 (synthesize)
• qiskit/circuit/library/generalized_gates/permutation.py:31 (__init__)
• qiskit/circuit/library/generalized_gates/gms.py:80 (__init__)
• qiskit/circuit/library/generalized_gates/mcmt.py:52 (__init__) Deprecation of MCMT in favor of MCMTGate #13584
• qiskit/circuit/library/generalized_gates/mcmt.py:159 (__init__) Deprecation of MCMT in favor of MCMTGate #13584
• qiskit/circuit/library/basis_change/qft.py:75 (__init__)
• qiskit/circuit/library/data_preparation/pauli_feature_map.py:410 (__init__)
• qiskit/circuit/library/data_preparation/_zz_feature_map.py:98 (__init__)
• qiskit/circuit/library/data_preparation/_z_feature_map.py:78 (__init__)
• qiskit/circuit/library/boolean_logic/quantum_xor.py:32 (__init__)
• qiskit/circuit/library/boolean_logic/quantum_and.py:54 (__init__)
• qiskit/circuit/library/boolean_logic/inner_product.py:65 (__init__)
• qiskit/circuit/library/boolean_logic/quantum_or.py:55 (__init__)
• qiskit/circuit/library/arithmetic/adders/adder.py:45 (__init__)
• qiskit/circuit/library/arithmetic/multipliers/multiplier.py:49 (__init__)
• qiskit/circuit/library/standard_gates/x.py:1174 (get_num_ancilla_qubits)
• qiskit/circuit/library/standard_gates/x.py:1286 (__init__)
• qiskit/circuit/library/standard_gates/x.py:1341 (__init__)
• qiskit/circuit/library/standard_gates/x.py:1431 (__init__)
• qiskit/circuit/library/n_local/n_local.py:306 (__init__)
• qiskit/circuit/library/n_local/efficient_su2.py:194 (__init__)
• qiskit/circuit/library/n_local/real_amplitudes.py:236 (__init__)
• qiskit/circuit/library/n_local/pauli_two_design.py:170 (__init__)
• qiskit/circuit/library/n_local/excitation_preserving.py:215 (__init__)
• qiskit/circuit/library/n_local/two_local.py:140 (__init__)

[Cryoris]

We need to discuss whether we want to remove the circuit library objects for 2.0 -- I think the sentiment currently is to keep them for the 2.* cycle, since they were heavily used and we might want to allow for a longer grace period before removing them fully.