Merge pull request #244 from BQSKit/sqrt-T-gate

SqrtTGate

bqskit/ir/gates/__init__.py

@@ -38,6 +38,7 @@
     ShiftGate
     SqrtCNOTGate
     SqrtISwapGate
+    SqrtTGate
     SubSwapGate
     SwapGate
     SqrtXGate

bqskit/ir/gates/constant/__init__.py

@@ -29,6 +29,7 @@
 from bqskit.ir.gates.constant.shift import ShiftGate
 from bqskit.ir.gates.constant.sqrtcnot import SqrtCNOTGate
 from bqskit.ir.gates.constant.sqrtiswap import SqrtISwapGate
+from bqskit.ir.gates.constant.sqrtt import SqrtTGate
 from bqskit.ir.gates.constant.subswap import SubSwapGate
 from bqskit.ir.gates.constant.swap import SwapGate
 from bqskit.ir.gates.constant.sx import SqrtXGate
@@ -73,6 +74,7 @@
     'ShiftGate',
     'SqrtCNOTGate',
     'SqrtISwapGate',
+    'SqrtTGate',
     'SubSwapGate',
     'SwapGate',
     'SqrtXGate',

bqskit/ir/gates/constant/sqrtt.py

@@ -0,0 +1,30 @@
+"""This module implements the SqrtTGate."""
+from __future__ import annotations
+
+import cmath
+
+from bqskit.ir.gates.constantgate import ConstantGate
+from bqskit.ir.gates.qubitgate import QubitGate
+from bqskit.qis.unitary.unitarymatrix import UnitaryMatrix
+
+
+class SqrtTGate(ConstantGate, QubitGate):
+    """
+    The single-qubit square root T gate.
+
+    .. math::
+
+        \\begin{pmatrix}
+        1 & 0 \\\\
+        0 & e^{i\\frac{\\pi}{8}} \\\\
+        \\end{pmatrix}
+    """
+
+    _num_qudits = 1
+    _qasm_name = 'st'
+    _utry = UnitaryMatrix(
+        [
+            [1, 0],
+            [0, cmath.exp(1j * cmath.pi / 8)],
+        ],
+    )