Adding h, p and u to basic aer

qiskit/providers/basicaer/basicaertools.py

@@ -23,7 +23,7 @@
 from qiskit.exceptions import QiskitError
 
 # Single qubit gates supported by ``single_gate_params``.
-SINGLE_QUBIT_GATES = ("U", "u1", "u2", "u3", "rz", "sx", "x")
+SINGLE_QUBIT_GATES = ("U", "u", "h", "p", "u1", "u2", "u3", "rz", "sx", "x")
 
 
 def single_gate_matrix(gate: str, params: Optional[List[float]] = None):
@@ -45,6 +45,12 @@ def single_gate_matrix(gate: str, params: Optional[List[float]] = None):
         gc = gates.UGate
     elif gate == "u3":
         gc = gates.U3Gate
+    elif gate == "h":
+        gc = gates.HGate
+    elif gate == "u":
+        gc = gates.UGate
+    elif gate == "p":
+        gc = gates.PhaseGate
     elif gate == "u2":
         gc = gates.U2Gate
     elif gate == "u1":

qiskit/providers/basicaer/qasm_simulator.py

@@ -70,8 +70,23 @@ class QasmSimulatorPy(BackendV1):
         "max_shots": 0,
         "coupling_map": None,
         "description": "A python simulator for qasm experiments",
-        "basis_gates": ["u1", "u2", "u3", "rz", "sx", "x", "cx", "id", "unitary"],
+        "basis_gates": ["h", "u", "p", "u1", "u2", "u3", "rz", "sx", "x", "cx", "id", "unitary"],
         "gates": [
+            {
+                "name": "h",
+                "parameters": [],
+                "qasm_def": "gate h q { U(pi/2,0,pi) q; }",
+            },
+            {
+                "name": "p",
+                "parameters": ["lambda"],
+                "qasm_def": "gate p(lambda) q { U(0,0,lambda) q; }",
+            },
+            {
+                "name": "u",
+                "parameters": ["theta", "phi", "lambda"],
+                "qasm_def": "gate u(theta,phi,lambda) q { U(theta,phi,lambda) q; }",
+            },
             {
                 "name": "u1",
                 "parameters": ["lambda"],

releasenotes/notes/h_basic_aer-3fc5e6776f0de9c1.yaml

@@ -0,0 +1,5 @@
+---
+upgrade:
+  - |
+    The `QasmSimulator` python-based simulator included in :class:`qiskit.providers.basicaer` 
+    now includes `h` (:class:`.HGate`), `p` (:class:`.PhaseGate`), and `u` (:class:`.UGate`) in its basis gate set.