QUANTUM 07

Quantum key
distribution

How BB84 sends a key on photons and exposes eavesdroppers

Sinclair College - Dr. Mike Libassi

TODAY

What we will cover

01Bases & photonsFour polarizations
02The protocolSend, measure, sift, check
03Catching EveThe 25% fingerprint
04Reality checkWhere QKD fits
Quantum 07 · BB84 QKD2

01 · BASES AND PHOTONS

Two bases, four polarizations

BasisBit 0Bit 1Read in the other basis
+ rectilinear (Z)→ |0⟩↑ |1⟩50/50 random
× diagonal (X)↗ |+⟩↖ |−⟩50/50 random

Measuring in the wrong basis gives a random result and destroys the original polarization.

Quantum 07 · BB84 QKD3

02 · THE PROTOCOL

Four steps from photons to a shared key

1

Send

Alice picks a random bit and basis for each photon

›
2

Measure

Bob picks his own random basis for each

›
3

Sift

They compare bases publicly (never bits) and keep matches, about half

›
4

Check

They reveal a sample of kept bits and measure the error rate

If the error rate is low, the unrevealed bits become the key. If it's high, they discard everything.

Quantum 07 · BB84 QKD4

03 · CATCHING EVE

Intercepting costs Eve 25%

Eve guesses the wrong basis→½
Bob then reads the wrong bit→½
errors on sifted bits=½ × ½ =25%

Real channels have a few percent of natural noise. Protocols commonly abort above roughly 11%.

Quantum 07 · BB84 QKD5

03 · CATCHING EVE

An eavesdropper can't look without leaving fingerprints.

Security from physics, not mathMeasurement disturbs the state, and the no-cloning theorem stops Eve from copying photons to measure later. No future computer, quantum or classical, changes that.

04 · REALITY CHECK

Where QKD works, and where it doesn't

LimitWhy it matters
DistancePhotons are lost in fiber, and quantum signals can't be amplified (amplifying means copying)
Trusted nodesLong links relay through stations that see the key, a classic weak point
AuthenticationThe public channel still needs conventional crypto or pre-shared keys
HardwareReal detectors have been attacked through side channels

The U.S. NSA does not recommend QKD for national security systems and points to post-quantum cryptography instead.

Quantum 07 · BB84 QKD7

WRAP-UP

Key takeaways

1

BB84 encodes bits in two random bases: + and ×

2

Alice and Bob sift to matching bases, then check a sample

3

An intercepting eavesdropper causes about 25% errors

4

Practical limits make PQC the broader-scale answer today

Quantum 07 · BB84 QKD8

DISCUSSION

BB84 is secure by the laws of physics. Why do governments still prefer post-quantum cryptography?

Weigh distance, cost, trusted relays, and what already runs on today's networks.

Quantum 07 · Quantum Key Distribution (BB84) · Questions?  ·  Open the interactive page