Quantum Robot Analysis
and entanglement
Classic BraitenbergFearAggression
Programmable BraitenbergA = Left Light SensorB = Right Light SensorP = Motor for Left Wheel Q = Motor for Right Wheel Circuit Implemented by ProgramUltrasonic Sensor Sound/Touch Sensor
Selected CircuitsABQPABQPABQPABQPABQPDirect ConnectionSwap GateFeynman GateFeynman+SwapEinstein-Podolsky-RosenAnd-OR GatesIdentity Matrix
Representing Gates via MatricesInputOutput
ABPQBehavior0000Robot stays stationary.0101Robot moves left.1011Robot moves forward.1110Robot moves right.
Using Binary GatesABQPFeynman GateABQPAnd-OR GatesThis behavior is deterministic because it can be determined how the robot will react to a given input.
Using Quantum GatesAPHadamardHX=Which in Dirac Notation is,
Which after Measurement means, probability of 0 & probability of 1HadamardInput A=0Output
Entanglement ExampleABQPH
Entanglement Example Step 1ABQPHadamard in parallel with wireHAPHHadamardAPWire=
APBehavior0 0 1Motor stops or moves.1 0 1Motor stops or moves.
APBehavior00Stopped11Moving
Entanglement Example Step 2ABQPEinstein-Podolsky-RosenHABQPFeynman GateX=
ABPQBehavior0000Robot stays stationary.0101Robot moves left.1011Robot moves forward.1110Robot moves right.
Putting it togetherHABPQ01 00Selected Combination01 10Vector IVector OMatrix MO = M * IMeasurementEither the robot will turn left or turn right with equal probability.
PQFalseFalseFalseTrueTrueFalseTrueTrue
Another example of entanglementHABPQ10 00Selected Combination10 01Vector of inputs in a room with no lightVector OMatrix MO = M * IMeasurementEither the robot will go forward or stop with equal probability.This robot will never turn left or right although is still probabilistic. This is demonstration of entanglement. Will never detonate a bomb.
PQFalseFalseFalseTrueTrueFalseTrueTrue
Next: Quantum Automaton Robot
C
S1
S2
M2
M1
H
Mood
Combinational logic with probabilistic entangled results
memory
m1
m1
md
Calculations in Hilbert Space
measurements
Classic Braitenberg need to have sensors hard-wired to motors.But Programmable Braitenberg vehicles behavior can be changes via the program that simulates a circuitReversable-permutative-determanisticIs this the right matrix for the and and or gate?Complex conjugateBloch sphereHadamard gate-purely randomJust binary purely deterministicCombination of both- entanglement- deterministic only for a selective set of valuesProbability Probability