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