QVM is a quantum computer simulator that was written by me in JavaScript. I implemented a custom algorithm to ‘group‘ quantum states so that a single qubit operation on a pair of entangled qubits would function properly. The algorithm is implemented in VecGroup.js
When you open demo.html you will see this:
The top box is where the QVM instructions go and the bottom box displays the result of the quantum computation. The file a.txt contains an example quantum algorithm(Grover’s algorithm) written by Jonathan Hui transcribed by myself. To run it, paste the contents of a.txt into the top box and press the run button. You should immediately see the bottom box filled with:
Probs: 0,0,0,0,0,0,0.5,0.5 Measure: 0,0,0,1,0,0,0,0
“Probs” is the representation of the probability vector. The vector is always ordered from all binary zeros counting up to all binary ones. The probability vector represents the probability like this:
So in turn, interpreting our initial result:
All the operators are case insensitive. All operator parameters are separated with space.
| Operator | # Input Qubits | Extra Parameter | Official Name | Link | Usage | Example |
|---|---|---|---|---|---|---|
| H | 1 | N/A | Hammard | QINSP, Wikipedia | H <Affected Qubit> | H 0 |
| X | 1 | N/A | Pauli X, NOT | QINSP, Wikipedia | X <Affected Qubit> | X 0 |
| Y | 1 | N/A | Pauli Y | QINSP, Wikipedia | Y <Affected Qubit> | Y 0 |
| Z | 1 | N/A | Pauli Z | QINSP, Wikipedia | Z <Affected Qubit> | Z 0 |
| SNOT | 1 | N/A | Square Root Not | Wikipedia | SNOT <Affected Qubit> | SNOT 0 |
| SWP | 2 | N/A | Swap | QINSP, Wikipedia | SWP <Qubit A>,<Qubit B> | SWP 0,1 |
| SSWP | 2 | N/A | Square Root Swap | Wikipedia | SSWP <Qubit A>,<Qubit B> | SSWP 0,1 |
| CNOT | 2 | N/A | Controlled Not, Controlled X | QINSP, Wikipedia | CNOT <Affected Qubit A>,<Control Qubit B> | CNOT 1,0 |
| CCNOT | 3 | N/A | Toffoli | QINSP, Wikipedia | CCNOT <Affected Qubit A>,<Control Qubit B>,<Control Qubit C> | CCNOT 2,1,0 |
| CSWP | 3 | N/A | Controlled Swap | Wikipedia | CSWP <Affected Qubit A>,<Affected Qubit B>,<Control Qubit C> | CSWP 2,1,0 |
| S | 1 | N/A | Phase | QINSP | S <Affected Qubit> | S 0 |
| I | 1 | N/A | Identity | QINSP | I <Affected Qubit> | I 0 |
| SDAG | 1 | N/A | S Dagger | QINSP | SDAG <Affected Qubit> | SDAG 0 |
| T | 1 | N/A | T | QINSP | T <Affected Qubit> | T 0 |
| TDAG | 1 | N/A | T Dagger | QINSP | TDAG <Affected Qubit> | TDAG 0 |
| CZ | 2 | N/A | Controlled Phase, CPhase | QINSP, Wikipedia | CZ CNOT <Affected Qubit A>,<Control Qubit B> | CZ 0,1 |
| PHASE | 1 |  ,  being a multiple of  |
 , Phase Shift |
Wikipedia | PHASE <, a multiple of > <Affected Qubit A> |
PHASE .25 0 |
| XX | 2 | , being a multiple of |
Ising (XX) coupling | Wikipedia | XX <, a multiple of > <Qubit A>,<Qubit B> |
XX .25 0,1 |
| YY | 2 | , being a multiple of |
Ising (YY) coupling | Wikipedia | YY <, a multiple of > <Qubit A>,<Qubit B> |
YY .25 0,1 |
| ZZ | 2 | , being a multiple of |
Ising (ZZ) coupling | Wikipedia | ZZ <, a multiple of > <Qubit A>,<Qubit B> |
ZZ .25 0,1 |
| RX | 1 | , being a multiple of |
Rotate X | QINSP | RX <, a multiple of > <Affected Qubit A> |
RX .25 0 |
| RY | 1 | , being a multiple of |
Rotate Y | QINSP | RY <, a multiple of > <Affected Qubit A> |
RY .25 0 |
| RZ | 1 | , being a multiple of |
Rotate Z | QINSP | RZ <, a multiple of > <Affected Qubit A> |
RZ .25 0 |
| CR | 2 | , being a multiple of |
Controlled Phase shift | QINSP | CR <, a multiple of > <Qubit A>,<Control Qubit B> |
CR .25 0,1 |
| CRK | 2 | , being a multiple of |
Parametrized Controlled Phase shift | QINSP | CRK <, a multiple of > <Qubit A>,<Control Qubit B> |
CR .25 0,1 |
| INIT | N/A | N/A | Initialize | N/A | INIT <Number of Qubits your simulation will use> | INIT 1 |
| M | N/A | N/A | Measure | N/A | M <Qubit Number A>,<Qubit Number B>,<Qubit Number C>… | M 0 |