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OPPORTUNITIES AT THE INTERSECTION OF QUANTUM COMPUTATION AND QUANTUM COMMUNICATION

OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

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Page 1: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

OPPORTUNITIES AT THE INTERSECTION OF QUANTUM COMPUTATION AND QUANTUM COMMUNICATION

Page 2: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

Horizon’s mission is to make quantum computing useful to industry

Page 3: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

useful adj. capable of or suitable for being used for a particular purpose

synonyms: 1. exploitable 2. available

Page 4: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

MACHINE LEARNING EXAMPLE

CLASSICAL (naive)

1,000,000,000x slower*

CLASSICAL (highly optimized)

2,000x slower*

QUANTUM (HHL-based)

4x slower*

1,000 points 1,000,000 points

*approximate, based on GP regression with fixed number of hyper-parameters

Page 5: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

useful adj. capable of or suitable for being used for a particular purpose

synonyms: 1. exploitable 2. available

Page 6: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

1990 1995 2000 2005 2010 2015

ADIABATICOPTIMIZATION

2000

1994

SIMULATION

FACTORING

1994

2014

QUANTUM MACHINELEARNING

1996

SEARCH

LINEAR ALGEBRA

2009

QAOA

2014

Page 7: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters
Page 8: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters
Page 9: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

1940 1945 1950 1955 1960

MERGE SORT

1945

1943

MCCULLOCH-PITTSARTIFICIAL NEURON

HUFFMAN CODING

1952

FAST FOURIERTRANSFORM

1942

1947

SIMPLEXALGORITHM

1953

SIMULATEDANNEALING

1959

DIJKSTRA’SALGORITHM

1960

KARATSUBAMULTIPLICATION

QR FACTORIZATION

1959

1990 1995 2000 2005 2010 2015

ADIABATICOPTIMIZATION

2000

1994

QUANTUM SIMULATIONALGORITHM

SHOR’SFACTORIZATION

ALGORITHM

1994

2003

QUANTUM SORTING

2007

TRIANGLEFINDING

2014

QUANTUMSVM AND PCA

ALGORITHMS

1996

GROVER’SSEARCH

ALGORITHM

1998

QUANTUMANNEALING

HHL LINEAR SYSTEMS ALGORITHM

2009

QAOA

2014

SEMI-DEFINITEPROGRAMMING

ALGORITHM

2017

PHASEESTIMATIONALGORITHM

1995

QUANTUMFINGERPRINTING

2001

Page 10: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

DATA STRUCTURES ABSTRACTION

DATA STRUCTURES

Page 11: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

DATA STRUCTURES ABSTRACTION

ABSTRACTION

Page 12: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

useful adj. capable of or suitable for being used for a particular purpose

synonyms: 1. exploitable 2. available

Page 13: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

QUANTUM CLOUDS

Page 14: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

SECURE DELEGATION

... 0110 1101 0011 ...

... 1100 1011 1011 ...

... 0010 1111 1011 ...

... 0011 1001 0010 ...

.

.

.

Page 15: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

... 0110 1101 0011 ...

... 1100 1011 1011 ...

... 0010 1111 1011 ...

... 0011 1001 0010 ...

.

.

.

VERIFIED COMPUTATION

Page 16: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

NETWORKED COMPUTATION

Page 17: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

GENERAL PURPOSE QUANTUM COMMUNICATION

|0...0〉

Ui o

q

mp

i : input space

o : output space

q : memory

p : preparation space

m : measurement space

Device = {I,O,Q, P,M}

Page 18: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

NEED FOR STANDARDS

• Support for heterogeneous networks

• Routing and transmission control for quantum messages

• Interoperability between different device technologies

Page 19: OPPORTUNITIES AT THE INTERSECTION OF QUANTUM … · (HHL-based) 4x slower* 1,000 points 1,000,000 points *approximate, based on GP regression with fixed number of hyper-parameters

[email protected]

“I think there is a world market for maybe five computers.”