## Wednesday, December 16, 2020

### Intro to Quantum Computing (Everything I know)

Quantum computers are vastly different than digital (classical) computers. Let's start with the basics in this blog post.

### 1. Bits

Digital computers store information in classical bits. A bit can only be a zero or one.

Quantum computers store information in quantum bits (qubits). A qubit can be a zero or one or negative or both zero and one at the same time due to the wave nature of superposition (Yes, this is a real thing... more on this in another blog post).

### 2. Storage

Digital computers store bits using voltage / charge.

Quantum computers store qubits using electron spin.

### 3. Logic

Digital computers perform operations using logic gates governed by Boolean algebra (AND, OR, NOT, XOR, etc.).

Quantum computers perform operations using quantum logic gates (X, Y, Z, CNOT, etc) governed by linear algebra (matrix algebra).

### 4. Behavior

Digital computers use simulation to solve problems.

Quantum computers use imitation to solve problems.

### 5. Output

Digital computers are deterministic. The same input always yields the same output.

Quantum computers are probabilistic. Repetition of the same inputs gives probabilistic output.

### 6. Architecture

Digital computers use a von Neumann model with a CPU, ALU, and memory to store instructions and data, all made up of transistors. Physically, bits are stored in integrated circuits (chips) at room temperature.

Quantum computers store and process data using quantum error correction to manipulate quantum objects (electrons, photons, nuclei, etc). Physically, qubits are stored in quantum objects at less than 1 Kelvin (about 0.015 Kelvin) to remove any thermal noise that could disturb them.

### 7. Performance

Digital computers increase performance by a factor of two for each bit added (2n).

Quantum computers increase performance exponentially for each qubit added (2ⁿ).

### 8. Processing

Digital computers process data in series.

Quantum computers process data in parallel.

### 9. Reversibility

Digital computers’ logic gates are not all reversible.

Quantum computers’ logic gates are all reversible.

There are four operations that can be performed on a single bit: NOT, Identity, Set 0, Set 1.

1. NOT: Flip zero to one or one to zero. Think: clicking on a checkbox on a web page.

2. Identity: Multiply by 1 to keep the same value (identity). Think: core memory readout, which is destructive so the bit must be saved back into memory when reading.

3. Set 0: Force a zero into memory.

4. Set 1: Force a one into memory.

With digital computers, only the NOT and Identity are reversible gates. Quantum computers have other gates to make non-reversible operations reversible.

Since all quantum computer operations are reversible, output from one operation can be fed back into the same circuit to recover the original input.

It seems, before 2020, researchers viewed quantum computing as primarily a scientific goal, with relatively little immediate bearing on the future commercial viability of quantum computing. However, that has quickly changed with Honeywell, Amazon, and Microsoft entering the market.