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Revision 1 Alexander Glaser Department of Mechanical and Aerospace Engineering and Woodrow Wilson School of Public and International Aairs HOW TO KEEP A SECRET NEW APPROACHES TO TRUSTED RADIATION MEASUREMENTS FOR NUCLEAR WARHEAD VERIFICATION Technische Universität Darmstadt, 8. Juli 2016

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Page 1: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

Revision 1

Alexander GlaserDepartment of Mechanical and Aerospace Engineering and Woodrow Wilson School of Public and International Affairs

HOW TO KEEP A SECRETNEW APPROACHES TO TRUSTED RADIATION MEASUREMENTS FOR NUCLEAR WARHEAD VERIFICATION

Technische Universität Darmstadt, 8. Juli 2016

Page 2: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

CURRENT AREAS OF RESEARCH

2

Verification of Nuclear Arms Control Treaties

Can one dismantle an atomic bomb without learning anything about its design?

Nuclear Energy and Nuclear ProliferationCan one safely expand the use of nuclear power without increasing the risk of nuclear proliferation?

Nuclear Energy and Climate Change

Are there new reactor technologies that could be potential “game changers” for nuclear power?

nuclearfutures.princeton.edu

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

CONSORTIUM FORVERIFICATION TECHNOLOGY

3

Five-year project, funded by U.S. DOE, 13 U.S. universities and 9 national labs, led by U-MICH

Princeton participates in the research thrust on disarmament research (and leads the research thrust of the consortium on policy)

LANL

U Illinois

(not shown: U Hawaii)U Florida

NC State

Princeton and PPPLColumbia

YaleMIT

U MichiganU Wisconsin

Sandia

INL

PNNL

Oregon State

NNSS DukeORNL

LLNLLBNL

Sandia

Penn State

Page 4: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

INTERNATIONAL PARTNERSHIP

4

www.state.gov/t/avc/ipndv

FOR NUCLEAR DISARMAMENT VERIFICATION

Working Group One: “Monitoring and Verification Objectives” (chaired by Italy and the Netherlands) Working Group Two: “On-Site Inspections” (chaired by Australia and Poland)

Working Group Three: “Technical Challenges and Solutions” (chaired by Sweden and the United States)

Established in 2015; currently 26 participating countries (including Germany)

Page 5: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

RELEVANT NUCLEARARMS CONTROL TREATIES

5

NUCLEAR NON-PROLIFERATION TREATYBans the acquisition of nuclear weapons by non-weapon states and commits the five weapon states to nuclear disarmament; verified by IAEA safeguards

Bans all nuclear explosions in all environments and would be verifiedby extensive verification mechanisms (International Monitoring System, CTBTO)

COMPREHENSIVE TEST BAN TREATY

At a minimum, treaty would ban fissile material production for weapons purposes; Issue about treaty scope: Would it also cover existing stocks?

FISSILE MATERIAL (CUTOFF) TREATY

NEXT-GENERATION NUCLEAR DISARMAMENT TREATIESAgreements that place limits on total number of nuclear warheads in arsenals would pose qualitatively new verification challenges

Page 6: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

CONFIRMING THE AUTHENTICITY OF A NUCLEAR WARHEAD

(WHILE LEARNING NOTHING ABOUT IT)

(START CALIBRATION AND/OR TEMPLATE ACQUISITION)

Page 7: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

THOUSANDS OF NUCLEAR WEAPONS

7

W87/Mk-21 Reentry Vehicles in storage, Warren Air Force Base, Cheyenne, Wyoming Photo courtesy of Paul Shambroom, www.paulshambroom.com

ARE CURRENTLY NON-DEPLOYED (i.e., IN RESERVE OR AWAITING DISMANTLEMENT)

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

NUCLEAR WEAPONS HAVE UNIQUE SIGNATURES

8

U.S. Scientists on a Soviet Cruiser in the Black Sea, 1989

BUT THEY ARE SENSITIVE AND CANNOT BE REVEALED TO INSPECTORS

Science, Vol. 248, 18 May 1990

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

NUCLEAR WARHEAD VERIFICATION

9

KEY CONCEPTS OF (PROPOSED) SYSTEMS

ATTRIBUTE APPROACHConfirming selected characteristics

of an object in classified form (for example, the presence/mass of plutonium)

TEMPLATE APPROACHComparing the radiation signature

from the inspected item with a reference item (“golden warhead”) of the same type

INFORMATION BARRIERSTechnologies and procedures that

prevent the release of sensitive nuclear information (generally needed for both approaches)

edited by D. Spears, 2001

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

PREVENTING THE EXCHANGE OF SENSITIVE INFORMATION DURING A RADIATION MEASUREMENT

10

Trusted Information BarrierMeasure (but sanitize) sensitive information

Single-bit observation

“Hard” to authenticate and certify

Interactive Zero-knowledge ProofNever measure sensitive information

More complex observation

“Easy” to authenticate and certify

S. Philippe, B. Barak, and A. Glaser, “Designing Protocols for Nuclear Warhead Verification” 56th Annual INMM Meeting, July 12-16, 2015, Indian Wells, California

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

WHY ARE WARHEAD INSPECTIONS SO HARD?

11

ADVERSARY/COMPETITOR HAS (DE FACTO) INFINITE RESOURCES

ADVERSARY/COMPETITOR MAY BE EXTREMELY MOTIVATED (TO DECEIVE INSPECTOR)Stakes are very high (especially when the number of weapons drops below ~1,000)

VERY LITTLE (IF ANY) INFORMATION ABOUT THE INSPECTED ITEM CAN BE REVEALEDSome information may be shared in advance, but no additional information during inspection

HOST HAS LAST OWNERSHIP OF INSPECTION SYSTEM BEFORE THE MEASUREMENT(and inspector never again has access to system aster the measurement is complete)

(AS SEEN FROM INSPECTOR’S PERSPECTIVE)

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PASSIVE GAMMA SPECTROSCOPY WITH INFORMATION BARRIER

WHILE WE ARE WAITING

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

INFORMATION BARRIER EXPERIMENTAL

13

VOLTAGE PULSES ACQUIRED BY THE RED PITAYA

Rejected pile-up

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

COMPARING RADIATION SPECTRA

14

(IBX WITH SODIUM-IODIDE DETECTOR, 60 SECONDS, ~175,000 counts)

Template Inspected item

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

COMPARING RADIATION SPECTRA

15

Differences are small, but most significant near 662 keV

(IBX WITH SODIUM-IODIDE DETECTOR, 60 SECONDS, ~175,000 counts)

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

COMPARING RADIATION SPECTRA

16

Co-60 source Co-60 source with weak Cs-137 contribution

(IBX WITH SODIUM-IODIDE DETECTOR, 60 SECONDS, ~175,000 counts)

Page 17: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

PREVENTING THE EXCHANGE OF SENSITIVE INFORMATION DURING A RADIATION MEASUREMENT

17

Trusted Information BarrierMeasure (but sanitize) sensitive information

Single-bit observation

“Hard” to authenticate and certify

Interactive Zero-knowledge ProofNever measure sensitive information

More complex observation

“Easy” to authenticate and certify

S. Philippe, B. Barak, and A. Glaser, “Designing Protocols for Nuclear Warhead Verification” 56th Annual INMM Meeting, July 12-16, 2015, Indian Wells, California

Page 18: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

PREVENTING THE EXCHANGE OF SENSITIVE INFORMATION DURING A RADIATION MEASUREMENT

18

Trusted Information BarrierMeasure (but sanitize) sensitive information

Single-bit observation

“Hard” to authenticate and certify

Interactive Zero-knowledge ProofNever measure sensitive information

More complex observation

“Easy” to authenticate and certify

S. Philippe, B. Barak, and A. Glaser, “Designing Protocols for Nuclear Warhead Verification” 56th Annual INMM Meeting, July 12-16, 2015, Indian Wells, California

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INTERACTIVE ZERO-KNOWLEDGE PROOFSLOGICAL LAYER

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

INTERACTIVE ZERO-KNOWLEDGE PROOFS

20

HUH?X

YES!

Q&A

P V

Zero-Knowledge Proofs: The prover (P) convinces the verifier (V) that s/he knows a secret without giving anything about the secret itself away

O. Goldreich, S. Micali, A. Wigderson, “How to Play ANY Mental Game,” 19th Annual ACM Conference on Theory of Computing, 1987 Graphics adapted from O. Goldreich, Foundations of Cryptography, Cambridge University Press, 2001; and eightbit.me

P V

YES!X

Page 21: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

EXAMPLE

FOR AN “ILLUSTRATED PRIMER” ON ZERO-KNOWLEDGE PROOFS, SEE blog.cryptographyengineering.com/2014/11/zero-knowledge-proofs-illustrated-primer.html

FOR A ZERO-KNOWLEDGE “SUDOKU” PROOF, SEE www.wisdom.weizmann.ac.il/~naor/PAPERS/SUDOKU_DEMO/

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

PROVING THAT TWO OBJECTS ARE IDENTICAL

22

“THE DAY BEFORE THE INSPECTION”

1 2 3

A

B

(1) Alice owns valuable objects whose design she wants to keep a secret (2) In private, she takes a radiograph of this object on “blank film”

(3) Alice prepares two identical complements of that picture and places these complements in two sealed envelopes

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

PROVING THAT TWO OBJECTS ARE IDENTICAL

23

“THE DAY OF THE INSPECTION”

4 6

(4) At the day of the inspection, Alice presents a reference item and an item for inspection in concealed form (5) Bob randomly assigns the envelopes; then, new radiographs of both items are made

(6) If Alice presents a valid item, a “flat image” is produced; if not, she risks failing the inspection (and revealing information)

5

A/B

Reference item

Inspected item

Reference item

Inspected item (valid)

Source: ZDF.de (August 8,1985)

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

PROVING THAT TWO OBJECTS ARE IDENTICAL

24

4 5 6

A/B

Reference item

Inspected item

Reference item

Inspected item (invalid)

(4) At the day of the inspection, Alice presents a reference item and an item for inspection in concealed form (5) Bob randomly assigns the envelopes; then, new radiographs of both items are made

(6) If Alice presents a valid item, a “flat image” is produced; if not, she risks failing the inspection (and revealing information)

“THE DAY OF THE INSPECTION”

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

PROVING THAT TWO OBJECTS ARE IDENTICAL

25

+ =

=+

We will later introduce the maximum possible exposure as “NMAX”

“THE DAY OF THE INSPECTION”

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

COMPLETENESSIf the items are identical and both host and inspector follow the protocol,

then the inspector will accept with probability p = 1 – (½)n

WHAT THE PROTOCOL ACHIEVES

26

ZERO KNOWLEDGEAs long as the host follows the protocol and presents matching items,

the inspector gains no knowledge during their interaction except for the fact that the items match

SOUNDNESSIf the items are different and the inspector follows the protocol,

then, no matter what the host does, the inspector will reject with probability p ≥ 1 – (½)n

S. Philippe, B. Barak, and A. Glaser, “Designing Protocols for Nuclear Warhead Verification” 56th Annual INMM Meeting, July 12-16, 2015, Indian Wells, California

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PHYSICAL ZERO-KNOWLEDGE PROOFSWITH NON-ELECTRONIC PRELOADABLE DETECTORS

see, for example, B. Fisch, D. Freund, M. Naor, “Physical Zero-Knowledge Proofs of Physical Properties” Advances in Cryptology, CRYPTO 2014, Lecture Notes in Computer Science, Volume 8617, Springer, Heidelberg, 2014

THIS BASIC IDEA HAS TRIGGERED INTEREST IN OTHER “PHYSICAL APPLICATIONS” OF ZERO-KNOWLEDGE

Page 28: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

14 MeV neutron generator (Thermo Scientific P 385)

Test object Detector array

Collimator

Collimator slot

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

SUPERHEATED DROPLET DETECTORS OFFER A WAY TO IMPLEMENT THIS PROTOCOL

29

AND AVOID DETECTOR-SIDE ELECTRONICS

Superheated C-318 fluorocarbon (C4F8) droplets suspended in aqueous gel

Sensitive to neutrons with En > Emin

Tailor-made by d’Errico Research Group, Yale University

Designed to be insensitive to γ-radiation

Active volume .…...… : Droplet density …...… : Droplet diameter …… : Absolute Efficiency … :

6.0 cm3

3500 cm–3 ~100 µm

4 x 10–4

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

SUPERHEATED DROPLET DETECTORS

30

Expanded bubble ~ 500 µm

Superheated droplet ~ 20–100 µm

Vapor microcavity (~ 0.1 µm) caused by ionizing radiation,

e.g. carbon or fluorine recoil ions in C4F8 droplets

PRINCIPLE

Aqueous gel with suspended

fluorocarbon droplets

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

FLUENCE RESPONSE

31

Francesco d'Errico, “Radiation Dosimetry and Spectrometry with Superheated Emulsions” Nuclear Instruments and Methods in Physics Research B, 184 (2001), pp. 229–254

OF SUPERHEATED EMULSIONS MEASURED AS A FUNCTION OF NEUTRON ENERGY AND TEMPERATURE

40 ºC 35 ºC 30 ºC 25 ºC

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

SUPERHEATED DROPLET DETECTORS

32

BUBBLES CAN BE COUNTED WITH A VARIETY OF TECHNIQUES

Detectors can be “reset” (bubbles recompressed) many times (good for R&D) Inspector can verify functionality of detectors aster inspection

Photodiodescollecting light scattered by bubbles

Diode output scales (quasi) linearly with bubble count

LEDs

Optical readout (with camera) Source: Bubble Technologies Industries

Opto-electronic readout Adapted from: Francesco d’Errico, Yale

Volumetric readout

Page 33: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

RESULTSRADIOGRAPHY WITH 14-MeV NEUTRONS

(SIMULATED DATA)

Page 34: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

14 MeV neutron generator (Thermo Scientific P 385)

Test object Detector array (preloaded)

Collimator

Collimator slot

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

ZERO-KNOWLEDGE VERIFICATION

35

Reference item Valid item

RADIOGRAPHY WITH 14 MeV NEUTRONS

Simulated data from MCNP calculations; neutron detection energies > 10 MeV; N(max) = 5,000 A. Glaser, B. Barak, R. J. Goldston, “A Zero-knowledge Protocol for Nuclear Warhead Verification,” Nature, 510, 26 June 2014, 497–502

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

ZERO-KNOWLEDGE VERIFICATION

36

Reference item Valid item

RADIOGRAPHY WITH 14 MeV NEUTRONS

Simulated data from MCNP calculations; neutron detection energies > 10 MeV; N(max) = 5,000 A. Glaser, B. Barak, R. J. Goldston, “A Zero-knowledge Protocol for Nuclear Warhead Verification,” Nature, 510, 26 June 2014, 497–502

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

ZERO-KNOWLEDGE VERIFICATION

37

Simulated data from MCNP calculations; neutron detection energies > 10 MeV; N(max) = 5,000 A. Glaser, B. Barak, R. J. Goldston, “A Zero-knowledge Protocol for Nuclear Warhead Verification,” Nature, 510, 26 June 2014, 497–502

Valid item Invalid item

(Tungsten rings replaced by lead rings)

RADIOGRAPHY WITH 14 MeV NEUTRONS

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

LOCAL TUNGSTEN DIVERSION

38

36-DEGREE SEGMENT OF OUTER TUNGSTEN RING (543 GRAMS, 7% OF TOTAL TUNGSTEN)

Page 39: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

ZERO-KNOWLEDGE VERIFICATION

39

543 grams of tungsten removed from outer ring of test object; simulated data from MCNP calculations; neutron detection energies > 10 MeV A. Glaser, B. Barak, R. J. Goldston, “A Zero-knowledge Protocol for Nuclear Warhead Verification,” Nature, 510, 26 June 2014, 497–502

RADIOGRAPHY WITH 14 MeV NEUTRONS

Page 40: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016

The Conjurer, Hieronymus Bosch, 1502

FIRST EXPERIMENTAL RESULTS

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

EXPERIMENTAL SETUP AND SCENARIO

41

WE WISH TO IDENTIFY CASES IN WHICH THE CUBE PATTERN HAS BEEN ALTERED WITHOUT GAINING ANY INFORMATION ABOUT THE CONFIGURATION IN CASES WHERE IT HAS NOT

SSAL

ALSS

AL

Staging area (with reference item)

Detector array

Collimated neutron beam 14-MeV (DT) generator

Reference item

SS

SSAL

ALAL

X

X X X

1 2 3 4 5 6 7Detector positions

Reference item consists of a combination of 2-inch cubes (aluminum and stainless steel)

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

EXPERIMENTAL RESULTS

42

Bubb

le c

ount

400

600

800

1000

1200

1400

1600

NMAX = 1020

#1 #2 #3 #4 #5 #6 #7

Reference item

SS

SSAL

ALAL

X

X X X

(VALID ITEM)

Simulation Measurement

S. Philippe, R. J. Goldston, A. Glaser and F. d’Errico, “Experimental Demonstration of a Physical Zero-knowledge Protocol for Nuclear Warhead Verification,” under review

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

EXPERIMENTAL RESULTS

43

Bubb

le c

ount

400

600

800

1000

1200

1400

1600

NMAX = 1020

#1 #2 #3 #4 #5 #6 #7

Reference item

SS

SSAL

ALAL

X

X X X

“Mirrored item”

AL

XAL

ALSS

SS

X X X

S. Philippe, R. J. Goldston, A. Glaser and F. d’Errico, “Experimental Demonstration of a Physical Zero-knowledge Protocol for Nuclear Warhead Verification,” under review

(A DRASTIC CHANGE)

Simulation Measurement

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

EXPERIMENTAL RESULTS

44

Bubb

le c

ount

400

600

800

1000

1200

1400

1600

#1 #2 #3 #4 #5 #6 #7

Reference item

SS

SSAL

ALAL

X

X X X

“AL vs SS”

SS

ALAL

ALAL

X

X X X

(A SMALLER CHANGE)

Simulation Measurement

S. Philippe, R. J. Goldston, A. Glaser and F. d’Errico, “Experimental Demonstration of a Physical Zero-knowledge Protocol for Nuclear Warhead Verification,” under review

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

NEXT STEPS / WAY FORWARD

45

AT LAB-SCALE: DEMONSTRATING ZERO-KNOWLEDGE APPROACHES

• Experimental reproducibility of results

• Two-color setting (e.g. 300 keV and 14 MeV neutrons)

• Maximize bubble loading (and confirm absence of bubble “aging”)

BEYOND LAB-SCALE: TOWARD FULL-SCALE INSPECTION SYSTEMS

• Leveraging the virtues of unclassified research Multidisciplinary, open for blue-sky ideas, involving international partners

• Experiments with special nuclear materials in real-world conditions Measurements at the Nevada National Security Site planned for … next week

Source: U.S. Department of Energy (bottom)

• Data commitment schemes

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Photo: Mikhail Klimentyev/AP

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A. Glaser, How to Keep a Secret, Technische Universität Darmstadt, 8. Juli 2016

ACKNOWLEDGEMENTSPRINCETON AND PPPL

Andrew Carpe Charles Gentile

Robert J. Goldston Sébastien Philippe

Yan Jie

47

Boaz Barak, Microsost Research New England / Harvard University Francesco d’Errico, Yale University

Margarita Gattas-Sethi, Yale University Moritz Kütt, Technische Universität Darmstadt

ELSEWHERE

Global Zero MacArthur Foundation

Carnegie Corporation of New York U.S. Department of State

National Nuclear Security Administration, U.S. Department of Energy

RESEARCH SUPPORTED BY

Michael Schöppner Mark Walker

Bernadette Cogswell Julien de Troullioud de Lanversin

Tamara Patton

M. V. Ramana Zia Mian

Frank von Hippel Malte Göttsche

Benjamin Reimold

Page 48: HOW TO KEEP A SECRET - Princeton Universityaglaser/IT059-Glaser-Darmstadt.pdf · and Woodrow Wilson School of Public and International Affairs HOW TO KEEP A SECRET ... Juli 2016