Top Tweets for #phy533
Lately in #PHY533 #QuantumComputing: The dual of a ket is a bra, obtained by the conjugate transpose. We can multiply them as inner products or outer products, which are useful for normalization, orthogonality, changing bases, and showing that quantum gates are unitary matrices.

Lately in #PHY533 #QuantumComputing: We can write the amplitudes of α|0⟩+β|1⟩ in a list called a vector. A gate maps |0⟩ → a|0⟩+b|1⟩ and |1⟩ → c|0⟩+d|1⟩, which we write as a table called a matrix. From these, we can deduce basis vectors and vector-matrix multiplication.

Yesterday in #PHY533 #QuantumComputing: Global phases are irrelevant, so a qubit's state is α|0⟩ + βe^{iφ} |1⟩ for real α and β. Per normalization, we can write α = cos(θ/2) and β = sin(θ/2). With θ and φ as polar and azimuthal angles, we get a point on the Bloch sphere.
Today in #PHY533 #QuantumComputing: We had a Qubit Touchdown tournament, with $20 of prize money at stake. In the finals, the students tied 5 touchdowns each and opted to split the money $10 each. Then we discussed the Bloch sphere, quantum gates, and complex numbers.

Lately in #PHY533 #QuantumComputing: (1) Logic circuits for adding binary numbers. (2) Expressing logic circuits in Verilog. (3) Boolean algebra to simplify logic circuits. (4) Reversible gates. (5) Error correction. (6) Computational complexity. (7) Church-Turing thesis.

Today in #PHY533 #QuantumComputing: Any logic operation can be performed using NOT, AND, and OR gates. But NOT and AND can implement OR, so we just need NOT and AND. Furthermore, NAND can implement NOT and AND, so NAND is a universal gate.
Today in #PHY533 #QuantumComputing: Something with two states carries the smallest amount of information possible. We can use the binary digits (bits) 0 and 1 to represent them. A bit is the smallest unit of classical information.
Happy Spring 2026 semester! I'm teaching:
1. #PHY202 General Physics for the Life Sciences 2 #GenPhys2
2. #PHY471 #ClassicalMechanics
3. #PHY533 #QuantumComputing (my textbook)
2nd paper
Predictably the hardest..
#PHY533

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