2024年4月14日 · So, if we wanted to talk about universal gate sets, it would be $\mathcal{G} + CNOT$, which is essentially Clifford + T in its colloquial meaning. However, our $\mathcal{G}$ is clearly not a universal gate set on its own, yet we use it to get a circuit comprising single- and two-qubit Clifford gates and one non-Clifford single-qubit T gate.

2023年6月15日 · If I understand correctly, we could have used a pi/4 X rotation instead of the T gate which rotates about the Z axis as the non-clifford gate. I understand that T gates are the bottleneck when it comes to fault tollerant threshold.

2022年9月5日 · Suppose you have a code where the logical Z observable is all of the qubits. Then, for the T gate to be transversal, you basically need this to be true:

2021年9月12日 · For example, the state used to perform T gates via gate teleportation, equal to $\frac{1}{\sqrt{2}}\left ...

2022年6月1日 · I'm newbie to quantum computing, i read about these two gates on IBM quantum computing docs, but I can't seem to understand what is t-gate and tdg or t-dagger, can someone give me a simple explanat...

2021年8月7日 · As every gate is unitary, you can think of each gate as a rotation matrix in the Bloch sphere ...

2020年9月7日 · This process falls under the umbrella of gate teleportation (based on normal quantum teleportation) and basically lets you apply non-clifford gates if you have access to states that contain the essential information about the gate you want to apply - for instance, $|A\rangle = T\frac{1}{\sqrt{2}}(|0\rangle + |1\rangle)$ contains the effects of ...

2020年8月1日 · You can use Toffolis and an ancilla to remove the need for the control on the T, then decompose the Toffolis into T+H+CNOT. Since the second Toffoli is uncomputing the ancilla, it can be replaced by a measurement based uncomputation.

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2024年10月25日 · However, when we have a non-Clifford gate like a T-gate, we must do the Pauli corrections immediately since these non-Clifford gates can turn Pauli corrections into non-Pauli corrections. When we implement a T-gate via magic states, we see this in action.